3642712553088 has 1536 divisors, whose sum is σ = 13546464960000. Its totient is φ = 962448334848.

The previous prime is 3642712553063. The next prime is 3642712553101. The reversal of 3642712553088 is 8803552172463.

3642712553088 is a `hidden beast` number, since 3 + 6 + 4 + 2 + 7 + 1 + 2 + 553 + 0 + 88 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23201990706 + ... + 23201990862.

It is an arithmetic number, because the mean of its divisors is an integer number (8819313125).

Almost surely, 2^{3642712553088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3642712553088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773232480000).

3642712553088 is an abundant number, since it is smaller than the sum of its proper divisors (9903752406912).

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

3642712553088 is a wasteful number, since it uses less digits than its factorization.

3642712553088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 3642712553088 in words is "three trillion, six hundred forty-two billion, seven hundred twelve million, five hundred fifty-three thousand, eighty-eight".