346078656 has 504 divisors, whose sum is σ = 1362431616. Its totient is φ = 84602880.

The previous prime is 346078633. The next prime is 346078657. The reversal of 346078656 is 656870643.

346078656 is a `hidden beast` number, since 34 + 607 + 8 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×346078656² = 239540872277532672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346078657) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20357560 + ... + 20357576.

Almost surely, 2^346078656 is an apocalyptic number.

346078656 is a gapful number since it is divisible by the number (36) 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 346078656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681215808).

346078656 is an abundant number, since it is smaller than the sum of its proper divisors (1016352960).

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

346078656 is a wasteful number, since it uses less digits than its factorization.

346078656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 346078656 is about 18603.1894039705. The cubic root of 346078656 is about 702.0880888802.

The spelling of 346078656 in words is "three hundred forty-six million, seventy-eight thousand, six hundred fifty-six".