3626422272000 has 1536 divisors, whose sum is σ = 14793755558400. Its totient is φ = 875888640000.

The previous prime is 3626422271999. The next prime is 3626422272013. The reversal of 3626422272000 is 2722246263.

3626422272000 is a `hidden beast` number, since 3 + 6 + 2 + 6 + 422 + 27 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13381631865 + ... + 13381632135.

It is an arithmetic number, because the mean of its divisors is an integer number (9631351275).

Almost surely, 2^{3626422272000} is an apocalyptic number.

3626422272000 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 3626422272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7396877779200).

3626422272000 is an abundant number, since it is smaller than the sum of its proper divisors (11167333286400).

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

3626422272000 is an equidigital number, since it uses as much as digits as its factorization.

3626422272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 3626422272000 in words is "three trillion, six hundred twenty-six billion, four hundred twenty-two million, two hundred seventy-two thousand".