349498800 has 600 divisors, whose sum is σ = 1518164736. Its totient is φ = 75271680.

The previous prime is 349498771. The next prime is 349498819. The reversal of 349498800 is 8894943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×349498800² = 244298822402880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5216367 + ... + 5216433.

Almost surely, 2^349498800 is an apocalyptic number.

349498800 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 349498800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759082368).

349498800 is an abundant number, since it is smaller than the sum of its proper divisors (1168665936).

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

349498800 is a wasteful number, since it uses less digits than its factorization.

349498800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 349498800 is about 18694.8870015307. The cubic root of 349498800 is about 704.3933214485.

The spelling of 349498800 in words is "three hundred forty-nine million, four hundred ninety-eight thousand, eight hundred".