346376640 has 224 divisors, whose sum is σ = 1156386816. Its totient is φ = 87736320.

The previous prime is 346376627. The next prime is 346376687. The reversal of 346376640 is 46673643.

It is a congruent number.

It is an unprimeable number.

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, 3065224 + ... + 3065336.

Almost surely, 2^346376640 is an apocalyptic number.

346376640 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 346376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578193408).

346376640 is an abundant number, since it is smaller than the sum of its proper divisors (810010176).

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

346376640 is a wasteful number, since it uses less digits than its factorization.

346376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

The square root of 346376640 is about 18611.1966299859. The cubic root of 346376640 is about 702.2895373048.

The spelling of 346376640 in words is "three hundred forty-six million, three hundred seventy-six thousand, six hundred forty".