3267612972 has 108 divisors (see below), whose sum is σ = 9016600320. Its totient is φ = 997266816.

The previous prime is 3267612937. The next prime is 3267612983. The reversal of 3267612972 is 2792167623.

3267612972 is a `hidden beast` number, since 3 + 26 + 7 + 612 + 9 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 770554 + ... + 774782.

It is an arithmetic number, because the mean of its divisors is an integer number (83487040).

Almost surely, 2^3267612972 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 3267612972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508300160).

3267612972 is an abundant number, since it is smaller than the sum of its proper divisors (5748987348).

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

3267612972 is a wasteful number, since it uses less digits than its factorization.

3267612972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4392 (or 4374 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 3267612972 is about 57163.0385126613. The cubic root of 3267612972 is about 1483.9190283072.

The spelling of 3267612972 in words is "three billion, two hundred sixty-seven million, six hundred twelve thousand, nine hundred seventy-two".