3629768960 has 72 divisors (see below), whose sum is σ = 8761205376. Its totient is φ = 1440757760.

The previous prime is 3629768941. The next prime is 3629768983. The reversal of 3629768960 is 698679263.

It is a junction number, because it is equal to n+sod(n) for n = 3629768896 and 3629768905.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156857 + ... + 178503.

It is an arithmetic number, because the mean of its divisors is an integer number (121683408).

Almost surely, 2^3629768960 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 3629768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380602688).

3629768960 is an abundant number, since it is smaller than the sum of its proper divisors (5131436416).

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

3629768960 is a wasteful number, since it uses less digits than its factorization.

3629768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21799 (or 21785 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 56.

The square root of 3629768960 is about 60247.5639341542. The cubic root of 3629768960 is about 1536.8317616052.

The spelling of 3629768960 in words is "three billion, six hundred twenty-nine million, seven hundred sixty-eight thousand, nine hundred sixty".