3630711087360 has 1728 divisors, whose sum is σ = 15261851404800. Its totient is φ = 795943895040.

The previous prime is 3630711087277. The next prime is 3630711087373. The reversal of 3630711087360 is 637801170363.

It is a happy number.

3630711087360 is a `hidden beast` number, since 3 + 630 + 7 + 1 + 1 + 0 + 8 + 7 + 3 + 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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11826420327 + ... + 11826420633.

Almost surely, 2^{3630711087360} is an apocalyptic number.

3630711087360 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 3630711087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7630925702400).

3630711087360 is an abundant number, since it is smaller than the sum of its proper divisors (11631140317440).

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

3630711087360 is a wasteful number, since it uses less digits than its factorization.

3630711087360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 3630711087360 in words is "three trillion, six hundred thirty billion, seven hundred eleven million, eighty-seven thousand, three hundred sixty".