3690086400 has 1080 divisors, whose sum is σ = 17747655744. Its totient is φ = 707788800.

The previous prime is 3690086399. The next prime is 3690086429. The reversal of 3690086400 is 46800963.

3690086400 is a `hidden beast` number, since 3 + 6 + 9 + 0 + 0 + 8 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 283852794 + ... + 283852806.

Almost surely, 2^3690086400 is an apocalyptic number.

3690086400 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 3690086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8873827872).

3690086400 is an abundant number, since it is smaller than the sum of its proper divisors (14057569344).

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

3690086400 is a wasteful number, since it uses less digits than its factorization.

3690086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3690086400 is about 60746.0813550965. The cubic root of 3690086400 is about 1545.2977714935.

The spelling of 3690086400 in words is "three billion, six hundred ninety million, eighty-six thousand, four hundred".