3687590400 has 480 divisors, whose sum is σ = 13426015680. Its totient is φ = 886702080.

The previous prime is 3687590383. The next prime is 3687590441. The reversal of 3687590400 is 40957863.

It is a happy number.

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 41433556 + ... + 41433644.

It is an arithmetic number, because the mean of its divisors is an integer number (27970866).

Almost surely, 2^3687590400 is an apocalyptic number.

3687590400 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 3687590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713007840).

3687590400 is an abundant number, since it is smaller than the sum of its proper divisors (9738425280).

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

3687590400 is a wasteful number, since it uses less digits than its factorization.

3687590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 3687590400 is about 60725.5333447142. The cubic root of 3687590400 is about 1544.9492762015.

The spelling of 3687590400 in words is "three billion, six hundred eighty-seven million, five hundred ninety thousand, four hundred".