3621082627344 has 640 divisors, whose sum is σ = 13094161920000. Its totient is φ = 851510403072.

The previous prime is 3621082627303. The next prime is 3621082627417. The reversal of 3621082627344 is 4437262801263.

It is a super-2 number, since 2×3621082627344² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3621082627293 and 3621082627302.

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, 69106147 + ... + 69158525.

It is an arithmetic number, because the mean of its divisors is an integer number (20459628000).

Almost surely, 2^{3621082627344} is an apocalyptic number.

3621082627344 is a gapful number since it is divisible by the number (34) 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 3621082627344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547080960000).

3621082627344 is an abundant number, since it is smaller than the sum of its proper divisors (9473079292656).

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

3621082627344 is a wasteful number, since it uses less digits than its factorization.

3621082627344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52460 (or 52440 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 3621082627344 in words is "three trillion, six hundred twenty-one billion, eighty-two million, six hundred twenty-seven thousand, three hundred forty-four".