3572254006272 has 440 divisors, whose sum is σ = 12228216041184. Its totient is φ = 1017559646208.

The previous prime is 3572254006259. The next prime is 3572254006309. The reversal of 3572254006272 is 2726004522753.

3572254006272 is a `hidden beast` number, since 3 + 572 + 2 + 5 + 4 + 0 + 0 + 6 + 2 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 195655768 + ... + 195674024.

Almost surely, 2^{3572254006272} is an apocalyptic number.

3572254006272 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 3572254006272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114108020592).

3572254006272 is an abundant number, since it is smaller than the sum of its proper divisors (8655962034912).

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

3572254006272 is a wasteful number, since it uses less digits than its factorization.

3572254006272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18633 (or 18606 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 3572254006272 in words is "three trillion, five hundred seventy-two billion, two hundred fifty-four million, six thousand, two hundred seventy-two".