3732000768 has 156 divisors (see below), whose sum is σ = 10948156128. Its totient is φ = 1224622080.

The previous prime is 3732000721. The next prime is 3732000773. The reversal of 3732000768 is 8670002373.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2469133 + ... + 2470643.

It is an arithmetic number, because the mean of its divisors is an integer number (70180488).

Almost surely, 2^3732000768 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 3732000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474078064).

3732000768 is an abundant number, since it is smaller than the sum of its proper divisors (7216155360).

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

3732000768 is a wasteful number, since it uses less digits than its factorization.

3732000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3732000768 is about 61090.1036830025. The cubic root of 3732000768 is about 1551.1265854754.

The spelling of 3732000768 in words is "three billion, seven hundred thirty-two million, seven hundred sixty-eight", and thus it is an aban number.