3626413552944 has 960 divisors, whose sum is σ = 13260201292800. Its totient is φ = 940401487872.

The previous prime is 3626413552921. The next prime is 3626413552963. The reversal of 3626413552944 is 4492553146263.

3626413552944 is a `hidden beast` number, since 3 + 6 + 2 + 6 + 41 + 3 + 552 + 9 + 44 = 666.

3626413552944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6441231607 + ... + 6441232169.

It is an arithmetic number, because the mean of its divisors is an integer number (13812709680).

Almost surely, 2^{3626413552944} 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 3626413552944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630100646400).

3626413552944 is an abundant number, since it is smaller than the sum of its proper divisors (9633787739856).

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

3626413552944 is a wasteful number, since it uses less digits than its factorization.

3626413552944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 940 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 3626413552944 in words is "three trillion, six hundred twenty-six billion, four hundred thirteen million, five hundred fifty-two thousand, nine hundred forty-four".