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3691376640 = 21232572861
BaseRepresentation
bin1101110000000101…
…1111000000000000
3100112020222100210100
43130001133000000
530024443023030
61410143002400
7160322120010
oct33401370000
910466870710
103691376640
11162475a9a6
12870299400
1346a9c4843
14270377c40
15169111360
hexdc05f000

3691376640 has 312 divisors, whose sum is σ = 14628208608. Its totient is φ = 843448320.

The previous prime is 3691376609. The next prime is 3691376659. The reversal of 3691376640 is 466731963.

It is a super-2 number, since 2×36913766402 = 27252522996675379200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 1288810 + ... + 1291670.

It is an arithmetic number, because the mean of its divisors is an integer number (46885284).

Almost surely, 23691376640 is an apocalyptic number.

3691376640 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 3691376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7314104304).

3691376640 is an abundant number, since it is smaller than the sum of its proper divisors (10936831968).

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

3691376640 is a wasteful number, since it uses less digits than its factorization.

3691376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3691376640 is about 60756.7003712348. The cubic root of 3691376640 is about 1545.4778551418.

The spelling of 3691376640 in words is "three billion, six hundred ninety-one million, three hundred seventy-six thousand, six hundred forty".