3638613363840 has 2560 divisors, whose sum is σ = 16720349184000. Its totient is φ = 733477109760.

The previous prime is 3638613363793. The next prime is 3638613363857. The reversal of 3638613363840 is 483633168363.

3638613363840 is a `hidden beast` number, since 36 + 386 + 133 + 63 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 20327448871 + ... + 20327449049.

It is an arithmetic number, because the mean of its divisors is an integer number (6531386400).

Almost surely, 2^{3638613363840} is an apocalyptic number.

3638613363840 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 3638613363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8360174592000).

3638613363840 is an abundant number, since it is smaller than the sum of its proper divisors (13081735820160).

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

3638613363840 is a wasteful number, since it uses less digits than its factorization.

3638613363840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 3638613363840 in words is "three trillion, six hundred thirty-eight billion, six hundred thirteen million, three hundred sixty-three thousand, eight hundred forty".