3677688960 has 512 divisors, whose sum is σ = 13663365120. Its totient is φ = 832634880.

The previous prime is 3677688929. The next prime is 3677688961. The reversal of 3677688960 is 698867763.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3677688894 and 3677688903.

It is not an unprimeable number, because it can be changed into a prime (3677688961) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 32545864 + ... + 32545976.

It is an arithmetic number, because the mean of its divisors is an integer number (26686260).

Almost surely, 2^3677688960 is an apocalyptic number.

3677688960 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 3677688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6831682560).

3677688960 is an abundant number, since it is smaller than the sum of its proper divisors (9985676160).

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

3677688960 is a wasteful number, since it uses less digits than its factorization.

3677688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The square root of 3677688960 is about 60643.9523777928. The cubic root of 3677688960 is about 1543.5652708634.

The spelling of 3677688960 in words is "three billion, six hundred seventy-seven million, six hundred eighty-eight thousand, nine hundred sixty".