3213496320 has 208 divisors, whose sum is σ = 10373344512. Its totient is φ = 849346560.

The previous prime is 3213496303. The next prime is 3213496333. The reversal of 3213496320 is 236943123.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11857785 + ... + 11858055.

Almost surely, 2^3213496320 is an apocalyptic number.

3213496320 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 3213496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186672256).

3213496320 is an abundant number, since it is smaller than the sum of its proper divisors (7159848192).

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

3213496320 is a wasteful number, since it uses less digits than its factorization.

3213496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 3213496320 is about 56687.7087206742. The cubic root of 3213496320 is about 1475.6813965566.

The spelling of 3213496320 in words is "three billion, two hundred thirteen million, four hundred ninety-six thousand, three hundred twenty".