3253234400 has 144 divisors (see below), whose sum is σ = 8638759584. Its totient is φ = 1189140480.

The previous prime is 3253234399. The next prime is 3253234417. The reversal of 3253234400 is 44323523.

It is a super-2 number, since 2×3253234400² = 21167068122686720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3253234400.

It is a congruent number.

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, 1069682 + ... + 1072718.

It is an arithmetic number, because the mean of its divisors is an integer number (59991386).

Almost surely, 2^3253234400 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 3253234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319379792).

3253234400 is an abundant number, since it is smaller than the sum of its proper divisors (5385525184).

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

3253234400 is a wasteful number, since it uses less digits than its factorization.

3253234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

The square root of 3253234400 is about 57037.1317651931. The cubic root of 3253234400 is about 1481.7392506347.

Adding to 3253234400 its reverse (44323523), we get a palindrome (3297557923).

The spelling of 3253234400 in words is "three billion, two hundred fifty-three million, two hundred thirty-four thousand, four hundred".