3892941312 has 320 divisors, whose sum is σ = 12172554240. Its totient is φ = 1094860800.

The previous prime is 3892941307. The next prime is 3892941313. The reversal of 3892941312 is 2131492983.

It is not an unprimeable number, because it can be changed into a prime (3892941313) 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, 11760987 + ... + 11761317.

It is an arithmetic number, because the mean of its divisors is an integer number (38039232).

Almost surely, 2^3892941312 is an apocalyptic number.

3892941312 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 3892941312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6086277120).

3892941312 is an abundant number, since it is smaller than the sum of its proper divisors (8279612928).

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

3892941312 is a wasteful number, since it uses less digits than its factorization.

3892941312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 399 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 3892941312 is about 62393.4396551432. The cubic root of 3892941312 is about 1573.1107016849.

The spelling of 3892941312 in words is "three billion, eight hundred ninety-two million, nine hundred forty-one thousand, three hundred twelve".