3130490880 has 384 divisors, whose sum is σ = 11900107440. Its totient is φ = 754974720.

The previous prime is 3130490873. The next prime is 3130490899. The reversal of 3130490880 is 880940313.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16220064 + ... + 16220256.

Almost surely, 2^3130490880 is an apocalyptic number.

3130490880 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 3130490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5950053720).

3130490880 is an abundant number, since it is smaller than the sum of its proper divisors (8769616560).

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

3130490880 is a wasteful number, since it uses less digits than its factorization.

3130490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3130490880 is about 55950.7898067579. The cubic root of 3130490880 is about 1462.8646576995.

The spelling of 3130490880 in words is "three billion, one hundred thirty million, four hundred ninety thousand, eight hundred eighty".