345070400 has 84 divisors (see below), whose sum is σ = 893856480. Its totient is φ = 130752000.

The previous prime is 345070373. The next prime is 345070417. The reversal of 345070400 is 4070543.

345070400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 24725 + ... + 36075.

Almost surely, 2^345070400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446928240).

345070400 is an abundant number, since it is smaller than the sum of its proper divisors (548786080).

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

345070400 is a wasteful number, since it uses less digits than its factorization.

345070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11392 (or 11377 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 345070400 is about 18576.0706286340. The cubic root of 345070400 is about 701.4056109960.

The spelling of 345070400 in words is "three hundred forty-five million, seventy thousand, four hundred".