3653111440 has 160 divisors (see below), whose sum is σ = 9810979200. Its totient is φ = 1252392960.

The previous prime is 3653111387. The next prime is 3653111467. The reversal of 3653111440 is 441113563.

3653111440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3653111399 and 3653111408.

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, 1095696 + ... + 1099024.

It is an arithmetic number, because the mean of its divisors is an integer number (61318620).

Almost surely, 2^3653111440 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 3653111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905489600).

3653111440 is an abundant number, since it is smaller than the sum of its proper divisors (6157867760).

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

3653111440 is a wasteful number, since it uses less digits than its factorization.

3653111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 3653111440 is about 60440.9748432303. The cubic root of 3653111440 is about 1540.1191002508.

The spelling of 3653111440 in words is "three billion, six hundred fifty-three million, one hundred eleven thousand, four hundred forty".