3623120160 has 96 divisors (see below), whose sum is σ = 12450376512. Its totient is φ = 878330880.

The previous prime is 3623120147. The next prime is 3623120167. The reversal of 3623120160 is 610213263.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3623120160.

It is not an unprimeable number, because it can be changed into a prime (3623120167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337819 + ... + 348378.

It is an arithmetic number, because the mean of its divisors is an integer number (129691422).

Almost surely, 2^3623120160 is an apocalyptic number.

3623120160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3623120160 is an abundant number, since it is smaller than the sum of its proper divisors (8827256352).

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

3623120160 is a wasteful number, since it uses less digits than its factorization.

3623120160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686226 (or 686218 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3623120160 is about 60192.3596480484. The cubic root of 3623120160 is about 1535.8928283515.

The spelling of 3623120160 in words is "three billion, six hundred twenty-three million, one hundred twenty thousand, one hundred sixty".