3685564800 has 480 divisors, whose sum is σ = 13888452600. Its totient is φ = 962150400.

The previous prime is 3685564739. The next prime is 3685564807. The reversal of 3685564800 is 84655863.

3685564800 is a `hidden beast` number, since 3 + 6 + 8 + 5 + 564 + 80 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3685564807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15292680 + ... + 15292920.

Almost surely, 2^3685564800 is an apocalyptic number.

3685564800 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 3685564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6944226300).

3685564800 is an abundant number, since it is smaller than the sum of its proper divisors (10202887800).

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

3685564800 is a wasteful number, since it uses less digits than its factorization.

3685564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 3685564800 is about 60708.8527317063. The cubic root of 3685564800 is about 1544.6663432567. Note that the first 3 decimals are identical.

The spelling of 3685564800 in words is "three billion, six hundred eighty-five million, five hundred sixty-four thousand, eight hundred".