3927946512 has 160 divisors (see below), whose sum is σ = 12061450240. Its totient is φ = 1077857280.

The previous prime is 3927946511. The next prime is 3927946523. The reversal of 3927946512 is 2156497293.

3927946512 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3927946512² = 30857527602265932288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3927946511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1446468 + ... + 1449180.

It is an arithmetic number, because the mean of its divisors is an integer number (75384064).

Almost surely, 2^3927946512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3927946512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6030725120).

3927946512 is an abundant number, since it is smaller than the sum of its proper divisors (8133503728).

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

3927946512 is a wasteful number, since it uses less digits than its factorization.

3927946512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2895 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 3927946512 is about 62673.3317448498. The cubic root of 3927946512 is about 1577.8117589954.

The spelling of 3927946512 in words is "three billion, nine hundred twenty-seven million, nine hundred forty-six thousand, five hundred twelve".