3392256672 has 432 divisors, whose sum is σ = 12077825760. Its totient is φ = 932746752.

The previous prime is 3392256671. The next prime is 3392256677. The reversal of 3392256672 is 2766522933.

3392256672 is a `hidden beast` number, since 3 + 392 + 256 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (3392256671) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11049543 + ... + 11049849.

It is an arithmetic number, because the mean of its divisors is an integer number (27957930).

Almost surely, 2^3392256672 is an apocalyptic number.

3392256672 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 3392256672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6038912880).

3392256672 is an abundant number, since it is smaller than the sum of its proper divisors (8685569088).

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

3392256672 is a wasteful number, since it uses less digits than its factorization.

3392256672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 348 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 3392256672 is about 58243.0826107273. The cubic root of 3392256672 is about 1502.5521990571.

The spelling of 3392256672 in words is "three billion, three hundred ninety-two million, two hundred fifty-six thousand, six hundred seventy-two".