345485100 has 72 divisors (see below), whose sum is σ = 1003717008. Its totient is φ = 91750400.

The previous prime is 345485099. The next prime is 345485117. The reversal of 345485100 is 1584543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74860 + ... + 79340.

It is an arithmetic number, because the mean of its divisors is an integer number (13940514).

Almost surely, 2^345485100 is an apocalyptic number.

345485100 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 345485100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501858504).

345485100 is an abundant number, since it is smaller than the sum of its proper divisors (658231908).

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

345485100 is a wasteful number, since it uses less digits than its factorization.

345485100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4755 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 345485100 is about 18587.2294869354. The cubic root of 345485100 is about 701.6864778012.

The spelling of 345485100 in words is "three hundred forty-five million, four hundred eighty-five thousand, one hundred".