3696147087360 has 1920 divisors, whose sum is σ = 15536905574400. Its totient is φ = 729305579520.

The previous prime is 3696147087341. The next prime is 3696147087397. The reversal of 3696147087360 is 637807416963.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×3696147087360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3696147087294 and 3696147087303.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26590986171 + ... + 26590986309.

It is an arithmetic number, because the mean of its divisors is an integer number (8092138320).

Almost surely, 2^{3696147087360} is an apocalyptic number.

3696147087360 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 3696147087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7768452787200).

3696147087360 is an abundant number, since it is smaller than the sum of its proper divisors (11840758487040).

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

3696147087360 is a wasteful number, since it uses less digits than its factorization.

3696147087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 60.

The spelling of 3696147087360 in words is "three trillion, six hundred ninety-six billion, one hundred forty-seven million, eighty-seven thousand, three hundred sixty".