3892133952 has 168 divisors, whose sum is σ = 13500055296. Its totient is φ = 1046605824.

The previous prime is 3892133951. The next prime is 3892133957. The reversal of 3892133952 is 2593312983.

3892133952 is a `hidden beast` number, since 389 + 213 + 3 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×3892133952² = 30297413400622276608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3892133898 and 3892133907.

It is not an unprimeable number, because it can be changed into a prime (3892133951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40153 + ... + 96935.

It is an arithmetic number, because the mean of its divisors is an integer number (80357472).

Almost surely, 2^3892133952 is an apocalyptic number.

3892133952 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 3892133952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6750027648).

3892133952 is an abundant number, since it is smaller than the sum of its proper divisors (9607921344).

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

3892133952 is a wasteful number, since it uses less digits than its factorization.

3892133952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56825 (or 56812 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 3892133952 is about 62386.9694086834. The cubic root of 3892133952 is about 1573.0019446326.

The spelling of 3892133952 in words is "three billion, eight hundred ninety-two million, one hundred thirty-three thousand, nine hundred fifty-two".