3892268940 has 288 divisors, whose sum is σ = 13582598400. Its totient is φ = 827850240.

The previous prime is 3892268927. The next prime is 3892268977. The reversal of 3892268940 is 498622983.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3295150 + ... + 3296330.

It is an arithmetic number, because the mean of its divisors is an integer number (47161800).

Almost surely, 2^3892268940 is an apocalyptic number.

3892268940 is a gapful number since it is divisible by the number (30) 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 3892268940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6791299200).

3892268940 is an abundant number, since it is smaller than the sum of its proper divisors (9690329460).

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

3892268940 is a wasteful number, since it uses less digits than its factorization.

3892268940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 3892268940 is about 62388.0512598366. The cubic root of 3892268940 is about 1573.0201295096.

The spelling of 3892268940 in words is "three billion, eight hundred ninety-two million, two hundred sixty-eight thousand, nine hundred forty".