3680737632 has 384 divisors, whose sum is σ = 13032714240. Its totient is φ = 996364800.

The previous prime is 3680737603. The next prime is 3680737637. The reversal of 3680737632 is 2367370863.

3680737632 is a `hidden beast` number, since 3 + 6 + 8 + 0 + 7 + 3 + 7 + 632 = 666.

3680737632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680737637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118733457 + ... + 118733487.

It is an arithmetic number, because the mean of its divisors is an integer number (33939360).

Almost surely, 2^3680737632 is an apocalyptic number.

3680737632 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 3680737632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6516357120).

3680737632 is an abundant number, since it is smaller than the sum of its proper divisors (9351976608).

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

3680737632 is a wasteful number, since it uses less digits than its factorization.

3680737632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 3680737632 is about 60669.0829994982. The cubic root of 3680737632 is about 1543.9916731096.

The spelling of 3680737632 in words is "three billion, six hundred eighty million, seven hundred thirty-seven thousand, six hundred thirty-two".