3213534400 has 168 divisors, whose sum is σ = 8292770816. Its totient is φ = 1224115200.

The previous prime is 3213534347. The next prime is 3213534413. The reversal of 3213534400 is 44353123.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3322717 + ... + 3323683.

Almost surely, 2^3213534400 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 3213534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146385408).

3213534400 is an abundant number, since it is smaller than the sum of its proper divisors (5079236416).

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

3213534400 is a wasteful number, since it uses less digits than its factorization.

3213534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 3213534400 is about 56688.0445949585. The cubic root of 3213534400 is about 1475.6872254856.

Adding to 3213534400 its reverse (44353123), we get a palindrome (3257887523).

The spelling of 3213534400 in words is "three billion, two hundred thirteen million, five hundred thirty-four thousand, four hundred".