3638233488960 has 896 divisors, whose sum is σ = 15047707776000. Its totient is φ = 827157381120.

The previous prime is 3638233488947. The next prime is 3638233488973. The reversal of 3638233488960 is 698843328363.

3638233488960 is a `hidden beast` number, since 3 + 6 + 38 + 2 + 33 + 488 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3638233488947) and next prime (3638233488973).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 571956180 + ... + 571962540.

Almost surely, 2^{3638233488960} is an apocalyptic number.

3638233488960 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 3638233488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7523853888000).

3638233488960 is an abundant number, since it is smaller than the sum of its proper divisors (11409474287040).

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

3638233488960 is a wasteful number, since it uses less digits than its factorization.

3638233488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6601 (or 6571 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 3638233488960 in words is "three trillion, six hundred thirty-eight billion, two hundred thirty-three million, four hundred eighty-eight thousand, nine hundred sixty".