3653734080 has 224 divisors, whose sum is σ = 12073298688. Its totient is φ = 935424000.

The previous prime is 3653734079. The next prime is 3653734093. The reversal of 3653734080 is 804373563.

3653734080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2517355 + ... + 2518805.

Almost surely, 2^3653734080 is an apocalyptic number.

3653734080 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 3653734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6036649344).

3653734080 is an abundant number, since it is smaller than the sum of its proper divisors (8419564608).

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

3653734080 is a wasteful number, since it uses less digits than its factorization.

3653734080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 3653734080 is about 60446.1254341418. The cubic root of 3653734080 is about 1540.2065950979.

The spelling of 3653734080 in words is "three billion, six hundred fifty-three million, seven hundred thirty-four thousand, eighty".