3690800640000 has 1560 divisors, whose sum is σ = 14669992537200. Its totient is φ = 923664384000.

The previous prime is 3690800639951. The next prime is 3690800640011. The reversal of 3690800640000 is 460080963.

3690800640000 is a `hidden beast` number, since 3 + 6 + 9 + 0 + 8 + 0 + 0 + 640 + 0 + 0 + 0 = 666.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10575359826 + ... + 10575360174.

It is an arithmetic number, because the mean of its divisors is an integer number (9403841370).

Almost surely, 2^{3690800640000} is an apocalyptic number.

3690800640000 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 3690800640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7334996268600).

3690800640000 is an abundant number, since it is smaller than the sum of its proper divisors (10979191897200).

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

3690800640000 is an frugal number, since it uses more digits than its factorization.

3690800640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 376 counting only the distinct ones).

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

The spelling of 3690800640000 in words is "three trillion, six hundred ninety billion, eight hundred million, six hundred forty thousand".