3624438406512 has 640 divisors, whose sum is σ = 12671188992000. Its totient is φ = 864699264000.

The previous prime is 3624438406499. The next prime is 3624438406579. The reversal of 3624438406512 is 2156048344263.

It is a happy number.

It is a super-2 number, since 2×3624438406512² (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 congruent number.

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, 345212239 + ... + 345222737.

It is an arithmetic number, because the mean of its divisors is an integer number (19798732800).

Almost surely, 2^{3624438406512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3624438406512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6335594496000).

3624438406512 is an abundant number, since it is smaller than the sum of its proper divisors (9046750585488).

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

3624438406512 is a wasteful number, since it uses less digits than its factorization.

3624438406512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10713 (or 10707 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 3624438406512 in words is "three trillion, six hundred twenty-four billion, four hundred thirty-eight million, four hundred six thousand, five hundred twelve".