3932840736 has 144 divisors (see below), whose sum is σ = 12608719200. Its totient is φ = 1191738240.

The previous prime is 3932840729. The next prime is 3932840767. The reversal of 3932840736 is 6370482393.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3932840691 and 3932840700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85735 + ... + 123353.

It is an arithmetic number, because the mean of its divisors is an integer number (87560550).

Almost surely, 2^3932840736 is an apocalyptic number.

3932840736 is a gapful number since it is divisible by the number (36) 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 3932840736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6304359600).

3932840736 is an abundant number, since it is smaller than the sum of its proper divisors (8675878464).

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

3932840736 is a wasteful number, since it uses less digits than its factorization.

3932840736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37660 (or 37635 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3932840736 is about 62712.3650965262. The cubic root of 3932840736 is about 1578.4668051796.

The spelling of 3932840736 in words is "three billion, nine hundred thirty-two million, eight hundred forty thousand, seven hundred thirty-six".