3101978880 has 864 divisors, whose sum is σ = 14463671040. Its totient is φ = 592773120.

The previous prime is 3101978863. The next prime is 3101978909. The reversal of 3101978880 is 888791013.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 11531386 + ... + 11531654.

It is an arithmetic number, because the mean of its divisors is an integer number (16740360).

Almost surely, 2^3101978880 is an apocalyptic number.

3101978880 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 3101978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231835520).

3101978880 is an abundant number, since it is smaller than the sum of its proper divisors (11361692160).

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

3101978880 is a wasteful number, since it uses less digits than its factorization.

3101978880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 3101978880 is about 55695.4116602077. The cubic root of 3101978880 is about 1458.4099283706.

The spelling of 3101978880 in words is "three billion, one hundred one million, nine hundred seventy-eight thousand, eight hundred eighty".