3213413304 has 128 divisors (see below), whose sum is σ = 9038304000. Its totient is φ = 946059264.

The previous prime is 3213413299. The next prime is 3213413341. The reversal of 3213413304 is 4033143123.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 843067 + ... + 846869.

It is an arithmetic number, because the mean of its divisors is an integer number (70611750).

Almost surely, 2^3213413304 is an apocalyptic number.

3213413304 is a gapful number since it is divisible by the number (34) 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 3213413304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519152000).

3213413304 is an abundant number, since it is smaller than the sum of its proper divisors (5824890696).

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

3213413304 is a wasteful number, since it uses less digits than its factorization.

3213413304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3213413304 is about 56686.9764937238. The cubic root of 3213413304 is about 1475.6686890869.

Adding to 3213413304 its reverse (4033143123), we get a palindrome (7246556427).

The spelling of 3213413304 in words is "three billion, two hundred thirteen million, four hundred thirteen thousand, three hundred four".