345691800 has 168 divisors, whose sum is σ = 1205557140. Its totient is φ = 92145600.

The previous prime is 345691783. The next prime is 345691807. The reversal of 345691800 is 8196543.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345691807) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 144615 + ... + 146985.

Almost surely, 2^345691800 is an apocalyptic number.

345691800 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 345691800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602778570).

345691800 is an abundant number, since it is smaller than the sum of its proper divisors (859865340).

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

345691800 is a wasteful number, since it uses less digits than its factorization.

345691800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 345691800 is about 18592.7889247418. The cubic root of 345691800 is about 701.8263870473.

The spelling of 345691800 in words is "three hundred forty-five million, six hundred ninety-one thousand, eight hundred".