3187020480 has 448 divisors, whose sum is σ = 12338304000. Its totient is φ = 680804352.

The previous prime is 3187020467. The next prime is 3187020497. The reversal of 3187020480 is 840207813.

3187020480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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, 13917006 + ... + 13917234.

Almost surely, 2^3187020480 is an apocalyptic number.

3187020480 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 3187020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169152000).

3187020480 is an abundant number, since it is smaller than the sum of its proper divisors (9151283520).

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

3187020480 is a wasteful number, since it uses less digits than its factorization.

3187020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 3187020480 is about 56453.7020929540. The cubic root of 3187020480 is about 1471.6175262595.

The spelling of 3187020480 in words is "three billion, one hundred eighty-seven million, twenty thousand, four hundred eighty".