3458494400 has 84 divisors (see below), whose sum is σ = 8528392392. Its totient is φ = 1380418560.

The previous prime is 3458494397. The next prime is 3458494421. The reversal of 3458494400 is 44948543.

It is a super-2 number, since 2×3458494400² = 23922367029662720000, 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, 834734 + ... + 838866.

Almost surely, 2^3458494400 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 3458494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264196196).

3458494400 is an abundant number, since it is smaller than the sum of its proper divisors (5069897992).

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

3458494400 is a wasteful number, since it uses less digits than its factorization.

3458494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4678 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The square root of 3458494400 is about 58808.9653029196. The cubic root of 3458494400 is about 1512.2689162706.

The spelling of 3458494400 in words is "three billion, four hundred fifty-eight million, four hundred ninety-four thousand, four hundred".