3924896309040 has 160 divisors (see below), whose sum is σ = 14081364449280. Its totient is φ = 885763187712.

The previous prime is 3924896309039. The next prime is 3924896309063. The reversal of 3924896309040 is 409036984293.

It is a happy number.

3924896309040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3924896309040² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14653659 + ... + 14919098.

It is an arithmetic number, because the mean of its divisors is an integer number (88008527808).

Almost surely, 2^{3924896309040} is an apocalyptic number.

3924896309040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3924896309040 is an abundant number, since it is smaller than the sum of its proper divisors (10156468140240).

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

3924896309040 is a wasteful number, since it uses less digits than its factorization.

3924896309040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29572859 (or 29572853 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 3924896309040 in words is "three trillion, nine hundred twenty-four billion, eight hundred ninety-six million, three hundred nine thousand, forty".