3732061132800 has 5760 divisors, whose sum is σ = 19818531532800. Its totient is φ = 668860416000.

The previous prime is 3732061132777. The next prime is 3732061132801. The reversal of 3732061132800 is 82311602373.

3732061132800 is a `hidden beast` number, since 3 + 7 + 3 + 2 + 0 + 611 + 32 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3732061132801) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 120389068785 + ... + 120389068815.

It is an arithmetic number, because the mean of its divisors is an integer number (3440717280).

Almost surely, 2^{3732061132800} is an apocalyptic number.

3732061132800 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 3732061132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9909265766400).

3732061132800 is an abundant number, since it is smaller than the sum of its proper divisors (16086470400000).

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

3732061132800 is a wasteful number, since it uses less digits than its factorization.

3732061132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 3732061132800 in words is "three trillion, seven hundred thirty-two billion, sixty-one million, one hundred thirty-two thousand, eight hundred".