3781608720 has 80 divisors (see below), whose sum is σ = 11972448000. Its totient is φ = 986970112.

The previous prime is 3781608713. The next prime is 3781608739. The reversal of 3781608720 is 278061873.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3781608720² = 28601129022360076800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156345 + ... + 178904.

It is an arithmetic number, because the mean of its divisors is an integer number (149655600).

Almost surely, 2^3781608720 is an apocalyptic number.

3781608720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3781608720 is an abundant number, since it is smaller than the sum of its proper divisors (8190839280).

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

3781608720 is a wasteful number, since it uses less digits than its factorization.

3781608720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335312 (or 335306 counting only the distinct ones).

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

The square root of 3781608720 is about 61494.7861204509. The cubic root of 3781608720 is about 1557.9691851685.

The spelling of 3781608720 in words is "three billion, seven hundred eighty-one million, six hundred eight thousand, seven hundred twenty".