3687584160 has 96 divisors (see below), whose sum is σ = 12509441280. Its totient is φ = 907711488.

The previous prime is 3687584143. The next prime is 3687584161. The reversal of 3687584160 is 614857863.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3687584161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289240 + ... + 301719.

It is an arithmetic number, because the mean of its divisors is an integer number (130306680).

Almost surely, 2^3687584160 is an apocalyptic number.

3687584160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3687584160 is an abundant number, since it is smaller than the sum of its proper divisors (8821857120).

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

3687584160 is a wasteful number, since it uses less digits than its factorization.

3687584160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590990 (or 590982 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 3687584160 is about 60725.4819659754. The cubic root of 3687584160 is about 1544.9484047662.

The spelling of 3687584160 in words is "three billion, six hundred eighty-seven million, five hundred eighty-four thousand, one hundred sixty".