3932678640 has 160 divisors (see below), whose sum is σ = 13487565312. Its totient is φ = 939904000.

The previous prime is 3932678639. The next prime is 3932678657. The reversal of 3932678640 is 468762393.

It is a super-2 number, since 2×3932678640² = 30931922571024499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3932678640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176950 + ... + 197930.

Almost surely, 2^3932678640 is an apocalyptic number.

3932678640 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 3932678640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6743782656).

3932678640 is an abundant number, since it is smaller than the sum of its proper divisors (9554886672).

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

3932678640 is a wasteful number, since it uses less digits than its factorization.

3932678640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21079 (or 21073 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 3932678640 is about 62711.0727065006. The cubic root of 3932678640 is about 1578.4451188475.

The spelling of 3932678640 in words is "three billion, nine hundred thirty-two million, six hundred seventy-eight thousand, six hundred forty".