3687978600 has 120 divisors (see below), whose sum is σ = 12808952310. Its totient is φ = 983456640.

The previous prime is 3687978587. The next prime is 3687978607. The reversal of 3687978600 is 68797863.

3687978600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2118392676 + 1569585924 = 46026^2 + 39618^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3687978607) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 97627 + ... + 130026.

Almost surely, 2^3687978600 is an apocalyptic number.

3687978600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3687978600 is an abundant number, since it is smaller than the sum of its proper divisors (9120973710).

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

3687978600 is a wasteful number, since it uses less digits than its factorization.

3687978600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227681 (or 227663 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 3687978600 is about 60728.7296096337. The cubic root of 3687978600 is about 1545.0034875970.

The spelling of 3687978600 in words is "three billion, six hundred eighty-seven million, nine hundred seventy-eight thousand, six hundred".