3652464960 has 448 divisors, whose sum is σ = 13856451840. Its totient is φ = 913711104.

The previous prime is 3652464913. The next prime is 3652464971. The reversal of 3652464960 is 694642563.

3652464960 is a `hidden beast` number, since 3 + 6 + 524 + 64 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11897127 + ... + 11897433.

It is an arithmetic number, because the mean of its divisors is an integer number (30929580).

Almost surely, 2^3652464960 is an apocalyptic number.

3652464960 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 3652464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6928225920).

3652464960 is an abundant number, since it is smaller than the sum of its proper divisors (10203986880).

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

3652464960 is an equidigital number, since it uses as much as digits as its factorization.

3652464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 3652464960 is about 60435.6265790304. The cubic root of 3652464960 is about 1540.0282448297.

The spelling of 3652464960 in words is "three billion, six hundred fifty-two million, four hundred sixty-four thousand, nine hundred sixty".