349958400 has 216 divisors, whose sum is σ = 1260690144. Its totient is φ = 84787200.

The previous prime is 349958393. The next prime is 349958407. The reversal of 349958400 is 4859943.

It is an interprime number because it is at equal distance from previous prime (349958393) and next prime (349958407).

It is not an unprimeable number, because it can be changed into a prime (349958407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210372 + ... + 212028.

Almost surely, 2^349958400 is an apocalyptic number.

349958400 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 349958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630345072).

349958400 is an abundant number, since it is smaller than the sum of its proper divisors (910731744).

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

349958400 is a wasteful number, since it uses less digits than its factorization.

349958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 349958400 is about 18707.1750940648. The cubic root of 349958400 is about 704.7019513738.

The spelling of 349958400 in words is "three hundred forty-nine million, nine hundred fifty-eight thousand, four hundred".