3650275346256 has 480 divisors, whose sum is σ = 13183510129920. Its totient is φ = 914883379200.

The previous prime is 3650275346219. The next prime is 3650275346261. The reversal of 3650275346256 is 6526435720563.

3650275346256 is a `hidden beast` number, since 3 + 6 + 5 + 0 + 2 + 7 + 5 + 3 + 4 + 625 + 6 = 666.

3650275346256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 977837766 + ... + 977841498.

It is an arithmetic number, because the mean of its divisors is an integer number (27465646104).

Almost surely, 2^{3650275346256} is an apocalyptic number.

3650275346256 is a gapful number since it is divisible by the number (36) 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 3650275346256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6591755064960).

3650275346256 is an abundant number, since it is smaller than the sum of its proper divisors (9533234783664).

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

3650275346256 is a wasteful number, since it uses less digits than its factorization.

3650275346256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6835 (or 6826 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 54.

The spelling of 3650275346256 in words is "three trillion, six hundred fifty billion, two hundred seventy-five million, three hundred forty-six thousand, two hundred fifty-six".