346725230400 has 378 divisors, whose sum is σ = 1279714881510. Its totient is φ = 92457262080.

The previous prime is 346725230399. The next prime is 346725230459. The reversal of 346725230400 is 4032527643.

346725230400 is a `hidden beast` number, since 34 + 67 + 2 + 523 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5846743296 + 340878487104 = 76464^2 + 583848^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10481086 + ... + 10514114.

Almost surely, 2^346725230400 is an apocalyptic number.

346725230400 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 346725230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639857440755).

346725230400 is an abundant number, since it is smaller than the sum of its proper divisors (932989651110).

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

346725230400 is an frugal number, since it uses more digits than its factorization.

346725230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33075 (or 33039 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 346725230400 in words is "three hundred forty-six billion, seven hundred twenty-five million, two hundred thirty thousand, four hundred".