346964400 has 180 divisors, whose sum is σ = 1243303360. Its totient is φ = 89510400.

The previous prime is 346964393. The next prime is 346964437. The reversal of 346964400 is 4469643.

346964400 is a `hidden beast` number, since 3 + 4 + 6 + 9 + 644 + 0 + 0 = 666.

346964400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 110046 + ... + 113154.

Almost surely, 2^346964400 is an apocalyptic number.

346964400 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 346964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621651680).

346964400 is an abundant number, since it is smaller than the sum of its proper divisors (896338960).

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

346964400 is a wasteful number, since it uses less digits than its factorization.

346964400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 346964400 is about 18626.9804316212. The cubic root of 346964400 is about 702.6865467953.

The spelling of 346964400 in words is "three hundred forty-six million, nine hundred sixty-four thousand, four hundred".