3234964320 has 648 divisors, whose sum is σ = 13659819264. Its totient is φ = 694987776.

The previous prime is 3234964309. The next prime is 3234964333. The reversal of 3234964320 is 234694323.

3234964320 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 9 + 643 + 2 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 25472097 + ... + 25472223.

It is an arithmetic number, because the mean of its divisors is an integer number (21079968).

Almost surely, 2^3234964320 is an apocalyptic number.

3234964320 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 3234964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829909632).

3234964320 is an abundant number, since it is smaller than the sum of its proper divisors (10424854944).

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

3234964320 is a wasteful number, since it uses less digits than its factorization.

3234964320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3234964320 is about 56876.7467424078. The cubic root of 3234964320 is about 1478.9602387730.

It can be divided in two parts, 32349 and 64320, that added together give a palindrome (96669).

The spelling of 3234964320 in words is "three billion, two hundred thirty-four million, nine hundred sixty-four thousand, three hundred twenty".