346031400 has 384 divisors, whose sum is σ = 1306166400. Its totient is φ = 74649600.

The previous prime is 346031381. The next prime is 346031407. The reversal of 346031400 is 4130643.

It is not an unprimeable number, because it can be changed into a prime (346031407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3174546 + ... + 3174654.

It is an arithmetic number, because the mean of its divisors is an integer number (3401475).

Almost surely, 2^346031400 is an apocalyptic number.

346031400 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 346031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653083200).

346031400 is an abundant number, since it is smaller than the sum of its proper divisors (960135000).

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

346031400 is a wasteful number, since it uses less digits than its factorization.

346031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 346031400 is about 18601.9192558187. The cubic root of 346031400 is about 702.0561314196.

The spelling of 346031400 in words is "three hundred forty-six million, thirty-one thousand, four hundred".