3652413120 has 560 divisors, whose sum is σ = 13874556960. Its totient is φ = 910393344.

The previous prime is 3652413119. The next prime is 3652413131. The reversal of 3652413120 is 213142563.

3652413120 is a `hidden beast` number, since 3 + 6 + 524 + 13 + 120 = 666.

3652413120 is digitally balanced in base 2 and base 4, because in such bases 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32322184 + ... + 32322296.

Almost surely, 2^3652413120 is an apocalyptic number.

3652413120 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 3652413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937278480).

3652413120 is an abundant number, since it is smaller than the sum of its proper divisors (10222143840).

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

3652413120 is a wasteful number, since it uses less digits than its factorization.

3652413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3652413120 is about 60435.1976914116. The cubic root of 3652413120 is about 1540.0209588422.

Adding to 3652413120 its reverse (213142563), we get a palindrome (3865555683).

The spelling of 3652413120 in words is "three billion, six hundred fifty-two million, four hundred thirteen thousand, one hundred twenty".