3612893760 has 896 divisors, whose sum is σ = 15730606080. Its totient is φ = 763084800.

The previous prime is 3612893723. The next prime is 3612893773. The reversal of 3612893760 is 673982163.

3612893760 = 132³ + 133³ + ... + 348³.

3612893760 is a `hidden beast` number, since 361 + 289 + 3 + 7 + 6 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 76870057 + ... + 76870103.

It is an arithmetic number, because the mean of its divisors is an integer number (17556480).

Almost surely, 2^3612893760 is an apocalyptic number.

3612893760 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 3612893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7865303040).

3612893760 is an abundant number, since it is smaller than the sum of its proper divisors (12117712320).

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

3612893760 is a wasteful number, since it uses less digits than its factorization.

3612893760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3612893760 is about 60107.3519629671. The cubic root of 3612893760 is about 1534.4464272301.

The spelling of 3612893760 in words is "three billion, six hundred twelve million, eight hundred ninety-three thousand, seven hundred sixty".