349574400 has 648 divisors, whose sum is σ = 1556219840. Its totient is φ = 75202560.

The previous prime is 349574399. The next prime is 349574419. The reversal of 349574400 is 4475943.

349574400 is a `hidden beast` number, since 3 + 49 + 574 + 40 + 0 = 666.

It is a super-2 number, since 2×349574400² = 244404522270720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20563192 + ... + 20563208.

Almost surely, 2^349574400 is an apocalyptic number.

349574400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778109920).

349574400 is an abundant number, since it is smaller than the sum of its proper divisors (1206645440).

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

349574400 is a wasteful number, since it uses less digits than its factorization.

349574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 349574400 is about 18696.9088354198. The cubic root of 349574400 is about 704.4441068359. Note that the first 3 decimals are identical.

The spelling of 349574400 in words is "three hundred forty-nine million, five hundred seventy-four thousand, four hundred".