346494720 has 288 divisors, whose sum is σ = 1302142464. Its totient is φ = 77414400.

The previous prime is 346494713. The next prime is 346494727. The reversal of 346494720 is 27494643.

It is an interprime number because it is at equal distance from previous prime (346494713) and next prime (346494727).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346494727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548805 + ... + 549435.

It is an arithmetic number, because the mean of its divisors is an integer number (4521328).

Almost surely, 2^346494720 is an apocalyptic number.

346494720 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 346494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651071232).

346494720 is an abundant number, since it is smaller than the sum of its proper divisors (955647744).

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

346494720 is a wasteful number, since it uses less digits than its factorization.

346494720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 346494720 is about 18614.3686436043. The cubic root of 346494720 is about 702.3693318767.

The spelling of 346494720 in words is "three hundred forty-six million, four hundred ninety-four thousand, seven hundred twenty".