346406544 has 225 divisors, whose sum is σ = 1125978931. Its totient is φ = 102738240.

The previous prime is 346406539. The next prime is 346406579. The reversal of 346406544 is 445604643.

The square root of 346406544 is 18612.

It is a perfect power (a square), and thus also a powerful number.

346406544 is a `hidden beast` number, since 3 + 4 + 640 + 6 + 5 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 346406499 and 346406508.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7370329 + ... + 7370375.

Almost surely, 2^346406544 is an apocalyptic number.

346406544 is the 18612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346406544

346406544 is an abundant number, since it is smaller than the sum of its proper divisors (779572387).

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

346406544 is a wasteful number, since it uses less digits than its factorization.

346406544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The cubic root of 346406544 is about 702.3097471569.

Multiplying 346406544 by its sum of digits (36), we get a square (12470635584 = 111672²).

346406544 divided by its sum of digits (36) gives a square (9622404 = 3102²).

The spelling of 346406544 in words is "three hundred forty-six million, four hundred six thousand, five hundred forty-four".