349898400 has 288 divisors, whose sum is σ = 1286167680. Its totient is φ = 91791360.

The previous prime is 349898377. The next prime is 349898401. The reversal of 349898400 is 4898943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349898401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2095117 + ... + 2095283.

It is an arithmetic number, because the mean of its divisors is an integer number (4465860).

Almost surely, 2^349898400 is an apocalyptic number.

349898400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

349898400 is the 10800-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643083840).

349898400 is an abundant number, since it is smaller than the sum of its proper divisors (936269280).

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

349898400 is a wasteful number, since it uses less digits than its factorization.

349898400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 274 counting only the distinct ones).

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

The square root of 349898400 is about 18705.5713625647. The cubic root of 349898400 is about 704.6616756023.

The spelling of 349898400 in words is "three hundred forty-nine million, eight hundred ninety-eight thousand, four hundred".