3732583680 has 720 divisors, whose sum is σ = 15789164160. Its totient is φ = 824131584.

The previous prime is 3732583667. The next prime is 3732583691. The reversal of 3732583680 is 863852373.

3732583680 is a `hidden beast` number, since 3 + 7 + 3 + 2 + 583 + 68 + 0 = 666.

3732583680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26853051 + ... + 26853189.

Almost surely, 2^3732583680 is an apocalyptic number.

3732583680 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 3732583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894582080).

3732583680 is an abundant number, since it is smaller than the sum of its proper divisors (12056580480).

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

3732583680 is a wasteful number, since it uses less digits than its factorization.

3732583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3732583680 is about 61094.8744167627. The cubic root of 3732583680 is about 1551.2073395879.

The spelling of 3732583680 in words is "three billion, seven hundred thirty-two million, five hundred eighty-three thousand, six hundred eighty".