3264952320 has 576 divisors, whose sum is σ = 13556743200. Its totient is φ = 743178240.

The previous prime is 3264952309. The next prime is 3264952321. The reversal of 3264952320 is 232594623.

It is a happy number.

3264952320 is a `hidden beast` number, since 3 + 2 + 649 + 5 + 2 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3264952321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13547400 + ... + 13547640.

Almost surely, 2^3264952320 is an apocalyptic number.

3264952320 is a gapful number since it is divisible by the number (30) 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 3264952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6778371600).

3264952320 is an abundant number, since it is smaller than the sum of its proper divisors (10291790880).

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

3264952320 is a wasteful number, since it uses less digits than its factorization.

3264952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3264952320 is about 57139.7612875658. The cubic root of 3264952320 is about 1483.5161588677.

The spelling of 3264952320 in words is "three billion, two hundred sixty-four million, nine hundred fifty-two thousand, three hundred twenty".