3640104291600 has 1440 divisors, whose sum is σ = 15521415137280. Its totient is φ = 771548405760.

The previous prime is 3640104291539. The next prime is 3640104291613. The reversal of 3640104291600 is 61924010463.

3640104291600 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 1 + 0 + 42 + 9 + 1 + 600 = 666.

3640104291600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 287 ways as a sum of consecutive naturals, for example, 7474546557 + ... + 7474547043.

It is an arithmetic number, because the mean of its divisors is an integer number (10778760512).

Almost surely, 2^{3640104291600} is an apocalyptic number.

3640104291600 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 3640104291600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7760707568640).

3640104291600 is an abundant number, since it is smaller than the sum of its proper divisors (11881310845680).

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

3640104291600 is a wasteful number, since it uses less digits than its factorization.

3640104291600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 823 counting only the distinct ones).

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

The spelling of 3640104291600 in words is "three trillion, six hundred forty billion, one hundred four million, two hundred ninety-one thousand, six hundred".