3645672576 has 576 divisors, whose sum is σ = 13362310080. Its totient is φ = 857309184.

The previous prime is 3645672553. The next prime is 3645672587. The reversal of 3645672576 is 6752765463.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 191877495 + ... + 191877513.

It is an arithmetic number, because the mean of its divisors is an integer number (23198455).

Almost surely, 2^3645672576 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 3645672576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6681155040).

3645672576 is an abundant number, since it is smaller than the sum of its proper divisors (9716637504).

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

3645672576 is a wasteful number, since it uses less digits than its factorization.

3645672576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 61 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 51.

The square root of 3645672576 is about 60379.4052305917. The cubic root of 3645672576 is about 1539.0730037005.

The spelling of 3645672576 in words is "three billion, six hundred forty-five million, six hundred seventy-two thousand, five hundred seventy-six".