3264492672 has 256 divisors, whose sum is σ = 11491891200. Its totient is φ = 892007424.

The previous prime is 3264492667. The next prime is 3264492683. The reversal of 3264492672 is 2762944623.

3264492672 is a `hidden beast` number, since 32 + 64 + 492 + 6 + 72 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553483 + ... + 559349.

It is an arithmetic number, because the mean of its divisors is an integer number (44890200).

Almost surely, 2^3264492672 is an apocalyptic number.

3264492672 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 3264492672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745945600).

3264492672 is an abundant number, since it is smaller than the sum of its proper divisors (8227398528).

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

3264492672 is a wasteful number, since it uses less digits than its factorization.

3264492672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5920 (or 5902 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 3264492672 is about 57135.7390080849. The cubic root of 3264492672 is about 1483.4465379186.

It can be divided in two parts, 32644 and 92672, that added together give a square (125316 = 354²).

The spelling of 3264492672 in words is "three billion, two hundred sixty-four million, four hundred ninety-two thousand, six hundred seventy-two".