3942472512 has 224 divisors, whose sum is σ = 11982297600. Its totient is φ = 1132902400.

The previous prime is 3942472493. The next prime is 3942472531. The reversal of 3942472512 is 2152742493.

It is an interprime number because it is at equal distance from previous prime (3942472493) and next prime (3942472531).

It is a congruent number.

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, 3613087 + ... + 3614177.

It is an arithmetic number, because the mean of its divisors is an integer number (53492400).

Almost surely, 2^3942472512 is an apocalyptic number.

3942472512 is a gapful number since it is divisible by the number (32) 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 3942472512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991148800).

3942472512 is an abundant number, since it is smaller than the sum of its proper divisors (8039825088).

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

3942472512 is a wasteful number, since it uses less digits than its factorization.

3942472512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1195 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 3942472512 is about 62789.1114127282. Note that the first 3 decimals coincide. The cubic root of 3942472512 is about 1579.7543430498.

The spelling of 3942472512 in words is "three billion, nine hundred forty-two million, four hundred seventy-two thousand, five hundred twelve".