3584996764272 has 720 divisors, whose sum is σ = 13492252440576. Its totient is φ = 901104652800.

The previous prime is 3584996764249. The next prime is 3584996764273. The reversal of 3584996764272 is 2724676994853.

3584996764272 is a `hidden beast` number, since 3 + 5 + 8 + 49 + 96 + 76 + 427 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3584996764272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3584996764273) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102069658 + ... + 102104774.

Almost surely, 2^{3584996764272} 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 3584996764272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6746126220288).

3584996764272 is an abundant number, since it is smaller than the sum of its proper divisors (9907255676304).

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

3584996764272 is a wasteful number, since it uses less digits than its factorization.

3584996764272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35200 (or 35171 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 3584996764272 in words is "three trillion, five hundred eighty-four billion, nine hundred ninety-six million, seven hundred sixty-four thousand, two hundred seventy-two".