345934800 has 180 divisors, whose sum is σ = 1245302240. Its totient is φ = 92223360.

The previous prime is 345934777. The next prime is 345934811. The reversal of 345934800 is 8439543.

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 a congruent number.

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, 95421 + ... + 98979.

Almost surely, 2^345934800 is an apocalyptic number.

345934800 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 345934800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622651120).

345934800 is an abundant number, since it is smaller than the sum of its proper divisors (899367440).

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

345934800 is a wasteful number, since it uses less digits than its factorization.

345934800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 345934800 is about 18599.3225683088. The cubic root of 345934800 is about 701.9907954086.

It can be divided in two parts, 34593 and 4800, that added together give a palindrome (39393).

The spelling of 345934800 in words is "three hundred forty-five million, nine hundred thirty-four thousand, eight hundred".