3882364980 has 192 divisors, whose sum is σ = 12147007488. Its totient is φ = 920056320.

The previous prime is 3882364963. The next prime is 3882364999. The reversal of 3882364980 is 894632883.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7422999 + ... + 7423521.

It is an arithmetic number, because the mean of its divisors is an integer number (63265664).

Almost surely, 2^3882364980 is an apocalyptic number.

3882364980 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 3882364980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6073503744).

3882364980 is an abundant number, since it is smaller than the sum of its proper divisors (8264642508).

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

3882364980 is a wasteful number, since it uses less digits than its factorization.

3882364980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The square root of 3882364980 is about 62308.6268505413. The cubic root of 3882364980 is about 1571.6848020352.

The spelling of 3882364980 in words is "three billion, eight hundred eighty-two million, three hundred sixty-four thousand, nine hundred eighty".