3254404400 has 120 divisors (see below), whose sum is σ = 8546734224. Its totient is φ = 1183564800.

The previous prime is 3254404393. The next prime is 3254404403. The reversal of 3254404400 is 44044523.

It is a super-2 number, since 2×3254404400² = 21182295997478720000, 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 3254404400.

It is not an unprimeable number, because it can be changed into a prime (3254404403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343730 + ... + 353070.

Almost surely, 2^3254404400 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 3254404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273367112).

3254404400 is an abundant number, since it is smaller than the sum of its proper divisors (5292329824).

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

3254404400 is a wasteful number, since it uses less digits than its factorization.

3254404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9439 (or 9428 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 3254404400 is about 57047.3873196661. The cubic root of 3254404400 is about 1481.9168612751.

Adding to 3254404400 its reverse (44044523), we get a palindrome (3298448923).

The spelling of 3254404400 in words is "three billion, two hundred fifty-four million, four hundred four thousand, four hundred".