349862400 has 180 divisors, whose sum is σ = 1252473222. Its totient is φ = 93265920.

The previous prime is 349862399. The next prime is 349862449. The reversal of 349862400 is 4268943.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 310323456 + 39538944 = 17616^2 + 6288^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 113682 + ... + 116718.

Almost surely, 2^349862400 is an apocalyptic number.

349862400 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 349862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626236611).

349862400 is an abundant number, since it is smaller than the sum of its proper divisors (902610822).

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

349862400 is a wasteful number, since it uses less digits than its factorization.

349862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3071 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 349862400 is about 18704.6090576628. The cubic root of 349862400 is about 704.6375079292.

The spelling of 349862400 in words is "three hundred forty-nine million, eight hundred sixty-two thousand, four hundred".