3690640800 has 864 divisors, whose sum is σ = 16992037440. Its totient is φ = 764467200.

The previous prime is 3690640781. The next prime is 3690640829. The reversal of 3690640800 is 80460963.

3690640800 is a `hidden beast` number, since 3 + 6 + 9 + 0 + 640 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11642242 + ... + 11642558.

It is an arithmetic number, because the mean of its divisors is an integer number (19666710).

Almost surely, 2^3690640800 is an apocalyptic number.

3690640800 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 3690640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8496018720).

3690640800 is an abundant number, since it is smaller than the sum of its proper divisors (13301396640).

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

3690640800 is a wasteful number, since it uses less digits than its factorization.

3690640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 345 counting only the distinct ones).

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

The square root of 3690640800 is about 60750.6444410263. The cubic root of 3690640800 is about 1545.3751563287.

The spelling of 3690640800 in words is "three billion, six hundred ninety million, six hundred forty thousand, eight hundred".