346431900 has 72 divisors (see below), whose sum is σ = 1009779120. Its totient is φ = 91696640.

The previous prime is 346431889. The next prime is 346431907. The reversal of 346431900 is 9134643.

It is a super-2 number, since 2×346431900² = 240030122675220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346431907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36886 + ... + 45314.

It is an arithmetic number, because the mean of its divisors is an integer number (14024710).

Almost surely, 2^346431900 is an apocalyptic number.

346431900 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 346431900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504889560).

346431900 is an abundant number, since it is smaller than the sum of its proper divisors (663347220).

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

346431900 is a wasteful number, since it uses less digits than its factorization.

346431900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8583 (or 8576 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 346431900 is about 18612.6811609719. The cubic root of 346431900 is about 702.3268824485.

The spelling of 346431900 in words is "three hundred forty-six million, four hundred thirty-one thousand, nine hundred".