3213414400 has 156 divisors (see below), whose sum is σ = 9108654112. Its totient is φ = 1101496320.

The previous prime is 3213414377. The next prime is 3213414419. The reversal of 3213414400 is 44143123.

It is a super-2 number, since 2×3213414400² = 20652064212254720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 714559 + ... + 719041.

Almost surely, 2^3213414400 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 3213414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554327056).

3213414400 is an abundant number, since it is smaller than the sum of its proper divisors (5895239712).

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

3213414400 is an equidigital number, since it uses as much as digits as its factorization.

3213414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524 (or 4497 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3213414400 is about 56686.9861608465. The cubic root of 3213414400 is about 1475.6688568558.

Adding to 3213414400 its reverse (44143123), we get a palindrome (3257557523).

The spelling of 3213414400 in words is "three billion, two hundred thirteen million, four hundred fourteen thousand, four hundred".