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3664440 = 233551329
BaseRepresentation
bin1101111110101000111000
320220011200000
431332220320
51414230230
6210313000
743101333
oct15765070
96804600
103664440
11208316a
121288760
139b3c10
146b561a
154c5b60
hex37ea38

3664440 has 192 divisors, whose sum is σ = 13759200. Its totient is φ = 870912.

The previous prime is 3664439. The next prime is 3664447. The reversal of 3664440 is 444663.

It is a happy number.

3664440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3664447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126346 + ... + 126374.

Almost surely, 23664440 is an apocalyptic number.

3664440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3664440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879600).

3664440 is an abundant number, since it is smaller than the sum of its proper divisors (10094760).

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

3664440 is a wasteful number, since it uses less digits than its factorization.

3664440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3664440 is about 1914.2727078449. The cubic root of 3664440 is about 154.1709463953.

The spelling of 3664440 in words is "three million, six hundred sixty-four thousand, four hundred forty".