346373664 has 192 divisors, whose sum is σ = 1156055040. Its totient is φ = 88335360.

The previous prime is 346373663. The next prime is 346373669. The reversal of 346373664 is 466373643.

It is a super-2 number, since 2×346373664² = 239949430225569792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (346373663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270177 + ... + 271455.

It is an arithmetic number, because the mean of its divisors is an integer number (6021120).

Almost surely, 2^346373664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346373664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578027520).

346373664 is an abundant number, since it is smaller than the sum of its proper divisors (809681376).

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

346373664 is a wasteful number, since it uses less digits than its factorization.

346373664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1335 counting only the distinct ones).

The product of its digits is 653184, while the sum is 42.

The square root of 346373664 is about 18611.1166779428. The cubic root of 346373664 is about 702.2875259878.

The spelling of 346373664 in words is "three hundred forty-six million, three hundred seventy-three thousand, six hundred sixty-four".