3213612792 has 256 divisors, whose sum is σ = 9918720000. Its totient is φ = 969978240.

The previous prime is 3213612781. The next prime is 3213612803. The reversal of 3213612792 is 2972163123.

3213612792 is a `hidden beast` number, since 3 + 21 + 361 + 279 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3213612781) and next prime (3213612803).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16148709 + ... + 16148907.

It is an arithmetic number, because the mean of its divisors is an integer number (38745000).

Almost surely, 2^3213612792 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 3213612792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959360000).

3213612792 is an abundant number, since it is smaller than the sum of its proper divisors (6705107208).

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

3213612792 is a wasteful number, since it uses less digits than its factorization.

3213612792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 288 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 3213612792 is about 56688.7360240110. The cubic root of 3213612792 is about 1475.6992248522.

The spelling of 3213612792 in words is "three billion, two hundred thirteen million, six hundred twelve thousand, seven hundred ninety-two".