349876800 has 672 divisors, whose sum is σ = 1587398400. Its totient is φ = 72990720.

The previous prime is 349876783. The next prime is 349876817. The reversal of 349876800 is 8678943.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (349876783) and next prime (349876817).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3931156 + ... + 3931244.

It is an arithmetic number, because the mean of its divisors is an integer number (2362200).

Almost surely, 2^349876800 is an apocalyptic number.

349876800 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 349876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793699200).

349876800 is an abundant number, since it is smaller than the sum of its proper divisors (1237521600).

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

349876800 is a wasteful number, since it uses less digits than its factorization.

349876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 349876800 is about 18704.9939855644. The cubic root of 349876800 is about 704.6471751974.

The spelling of 349876800 in words is "three hundred forty-nine million, eight hundred seventy-six thousand, eight hundred".