3612224160 has 480 divisors, whose sum is σ = 13570647552. Its totient is φ = 906992640.

The previous prime is 3612224101. The next prime is 3612224171. The reversal of 3612224160 is 614222163.

3612224160 is a `hidden beast` number, since 3 + 612 + 2 + 2 + 41 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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, 97627662 + ... + 97627698.

Almost surely, 2^3612224160 is an apocalyptic number.

3612224160 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 3612224160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785323776).

3612224160 is an abundant number, since it is smaller than the sum of its proper divisors (9958423392).

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

3612224160 is an frugal number, since it uses more digits than its factorization.

3612224160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3612224160 is about 60101.7816707625. The cubic root of 3612224160 is about 1534.3516252165.

The spelling of 3612224160 in words is "three billion, six hundred twelve million, two hundred twenty-four thousand, one hundred sixty".