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3729690 = 2325291429
BaseRepresentation
bin1110001110100100011010
321000111011200
432032210122
51423322230
6211535030
743462506
oct16164432
97014150
103729690
112118198
1212ba476
13a07823
146d1306
154da160
hex38e91a

3729690 has 48 divisors (see below), whose sum is σ = 10038600. Its totient is φ = 959616.

The previous prime is 3729673. The next prime is 3729697. The reversal of 3729690 is 969273.

3729690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2134521 + 1595169 = 1461^2 + 1263^2 .

It is a super-2 number, since 2×37296902 = 27821174992200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3729697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1896 + ... + 3324.

Almost surely, 23729690 is an apocalyptic number.

3729690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3729690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019300).

3729690 is an abundant number, since it is smaller than the sum of its proper divisors (6308910).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3729690 is a wasteful number, since it uses less digits than its factorization.

3729690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 3729690 is about 1931.2405339574. The cubic root of 3729690 is about 155.0806378887.

The spelling of 3729690 in words is "three million, seven hundred twenty-nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 1429 2610 2858 4287 7145 8574 12861 14290 21435 25722 41441 42870 64305 82882 124323 128610 207205 248646 372969 414410 621615 745938 1243230 1864845 3729690