3187806720 has 480 divisors, whose sum is σ = 12192130368. Its totient is φ = 708083712.

The previous prime is 3187806707. The next prime is 3187806737. The reversal of 3187806720 is 276087813.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3187806720² = 20324223368154316800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16181662 + ... + 16181858.

Almost surely, 2^3187806720 is an apocalyptic number.

3187806720 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 3187806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096065184).

3187806720 is an abundant number, since it is smaller than the sum of its proper divisors (9004323648).

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

3187806720 is a wasteful number, since it uses less digits than its factorization.

3187806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 3187806720 is about 56460.6652458152. The cubic root of 3187806720 is about 1471.7385326390.

The spelling of 3187806720 in words is "three billion, one hundred eighty-seven million, eight hundred six thousand, seven hundred twenty".