3632742589392 has 240 divisors, whose sum is σ = 11647335411712. Its totient is φ = 1035399594240.

The previous prime is 3632742589373. The next prime is 3632742589397. The reversal of 3632742589392 is 2939852472363.

It is a happy number.

3632742589392 is a `hidden beast` number, since 3 + 6 + 3 + 2 + 7 + 42 + 589 + 3 + 9 + 2 = 666.

It is a super-2 number, since 2×3632742589392² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3632742589397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 902094483 + ... + 902098509.

Almost surely, 2^{3632742589392} 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 3632742589392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5823667705856).

3632742589392 is an abundant number, since it is smaller than the sum of its proper divisors (8014592822320).

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

3632742589392 is a wasteful number, since it uses less digits than its factorization.

3632742589392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6006 (or 5997 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 3632742589392 in words is "three trillion, six hundred thirty-two billion, seven hundred forty-two million, five hundred eighty-nine thousand, three hundred ninety-two".