3630343256640 has 336 divisors, whose sum is σ = 12618105888960. Its totient is φ = 957928550400.

The previous prime is 3630343256563. The next prime is 3630343256651. The reversal of 3630343256640 is 466523430363.

3630343256640 is a `hidden beast` number, since 3 + 6 + 3 + 0 + 3 + 43 + 2 + 566 + 40 = 666.

It is a super-2 number, since 2×3630343256640² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 717598431 + ... + 717603489.

Almost surely, 2^{3630343256640} is an apocalyptic number.

3630343256640 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 3630343256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6309052944480).

3630343256640 is an abundant number, since it is smaller than the sum of its proper divisors (8987762632320).

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

3630343256640 is a wasteful number, since it uses less digits than its factorization.

3630343256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7650 (or 7637 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 45.

The spelling of 3630343256640 in words is "three trillion, six hundred thirty billion, three hundred forty-three million, two hundred fifty-six thousand, six hundred forty".