3732897792 has 256 divisors, whose sum is σ = 11274117120. Its totient is φ = 1089994752.

The previous prime is 3732897787. The next prime is 3732897799. The reversal of 3732897792 is 2977982373.

It is a tau number, because it is divible by the number of its divisors (256).

Its product of digits (8001504) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3732897799) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29392833 + ... + 29392959.

It is an arithmetic number, because the mean of its divisors is an integer number (44039520).

Almost surely, 2^3732897792 is an apocalyptic number.

3732897792 is a gapful number since it is divisible by the number (32) 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 3732897792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637058560).

3732897792 is an abundant number, since it is smaller than the sum of its proper divisors (7541219328).

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

3732897792 is a wasteful number, since it uses less digits than its factorization.

3732897792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 57.

The square root of 3732897792 is about 61097.4450529644. The cubic root of 3732897792 is about 1551.2508518227.

The spelling of 3732897792 in words is "three billion, seven hundred thirty-two million, eight hundred ninety-seven thousand, seven hundred ninety-two".