3513663360 has 448 divisors, whose sum is σ = 13364941680. Its totient is φ = 879869952.

The previous prime is 3513663353. The next prime is 3513663397. The reversal of 3513663360 is 633663153.

3513663360 is a `hidden beast` number, since 3 + 5 + 13 + 6 + 633 + 6 + 0 = 666.

3513663360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7931299 + ... + 7931741.

Almost surely, 2^3513663360 is an apocalyptic number.

3513663360 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 3513663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6682470840).

3513663360 is an abundant number, since it is smaller than the sum of its proper divisors (9851278320).

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

3513663360 is an equidigital number, since it uses as much as digits as its factorization.

3513663360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 36.

The square root of 3513663360 is about 59276.1618190652. The cubic root of 3513663360 is about 1520.2676352369.

The spelling of 3513663360 in words is "three billion, five hundred thirteen million, six hundred sixty-three thousand, three hundred sixty".