346441920 has 224 divisors, whose sum is σ = 1224564480. Its totient is φ = 82268160.

The previous prime is 346441919. The next prime is 346441933. The reversal of 346441920 is 29144643.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559371 + ... + 559989.

Almost surely, 2^346441920 is an apocalyptic number.

346441920 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 346441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612282240).

346441920 is an abundant number, since it is smaller than the sum of its proper divisors (878122560).

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

346441920 is a wasteful number, since it uses less digits than its factorization.

346441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 346441920 is about 18612.9503303480. The cubic root of 346441920 is about 702.3336536182. Note that the first 3 decimals are identical.

It can be divided in two parts, 346441 and 920, that added together give a triangular number (347361 = T₈₃₃).

The spelling of 346441920 in words is "three hundred forty-six million, four hundred forty-one thousand, nine hundred twenty".