3653959680 has 544 divisors, whose sum is σ = 15099379200. Its totient is φ = 821035008.

The previous prime is 3653959669. The next prime is 3653959693. The reversal of 3653959680 is 869593563.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61931491 + ... + 61931549.

Almost surely, 2^3653959680 is an apocalyptic number.

3653959680 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 3653959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549689600).

3653959680 is an abundant number, since it is smaller than the sum of its proper divisors (11445419520).

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

3653959680 is an frugal number, since it uses more digits than its factorization.

3653959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The square root of 3653959680 is about 60447.9915299094. The cubic root of 3653959680 is about 1540.2382944908.

The spelling of 3653959680 in words is "three billion, six hundred fifty-three million, nine hundred fifty-nine thousand, six hundred eighty".