3626350812672 has 320 divisors, whose sum is σ = 11659382085120. Its totient is φ = 978415386624.

The previous prime is 3626350812589. The next prime is 3626350812709. The reversal of 3626350812672 is 2762180536263.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63913788 + ... + 63970500.

It is an arithmetic number, because the mean of its divisors is an integer number (36435569016).

Almost surely, 2^{3626350812672} is an apocalyptic number.

3626350812672 is a gapful number since it is divisible by the number (32) 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 3626350812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5829691042560).

3626350812672 is an abundant number, since it is smaller than the sum of its proper divisors (8033031272448).

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

3626350812672 is a wasteful number, since it uses less digits than its factorization.

3626350812672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57073 (or 57057 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 3626350812672 in words is "three trillion, six hundred twenty-six billion, three hundred fifty million, eight hundred twelve thousand, six hundred seventy-two".