3329230464 has 256 divisors, whose sum is σ = 11822208000. Its totient is φ = 901020672.

The previous prime is 3329230441. The next prime is 3329230577. The reversal of 3329230464 is 4640329233.

3329230464 is a `hidden beast` number, since 3 + 3 + 292 + 304 + 64 = 666.

It is a super-2 number, since 2×3329230464² = 22167550964851310592, which contains 22 as substring.

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

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, 456027 + ... + 463269.

It is an arithmetic number, because the mean of its divisors is an integer number (46180500).

Almost surely, 2^3329230464 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 3329230464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5911104000).

3329230464 is an abundant number, since it is smaller than the sum of its proper divisors (8492977536).

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

3329230464 is a wasteful number, since it uses less digits than its factorization.

3329230464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7292 (or 7274 counting only the distinct ones).

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

The square root of 3329230464 is about 57699.4840878149. The cubic root of 3329230464 is about 1493.1884432838.

Adding to 3329230464 its reverse (4640329233), we get a palindrome (7969559697).

The spelling of 3329230464 in words is "three billion, three hundred twenty-nine million, two hundred thirty thousand, four hundred sixty-four".