345551700 has 144 divisors (see below), whose sum is σ = 1084055616. Its totient is φ = 84480000.

The previous prime is 345551693. The next prime is 345551729. The reversal of 345551700 is 7155543.

345551700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 978724 + ... + 979076.

It is an arithmetic number, because the mean of its divisors is an integer number (7528164).

Almost surely, 2^345551700 is an apocalyptic number.

345551700 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 345551700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542027808).

345551700 is an abundant number, since it is smaller than the sum of its proper divisors (738503916).

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

345551700 is a wasteful number, since it uses less digits than its factorization.

345551700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 345551700 is about 18589.0209532401. The cubic root of 345551700 is about 701.7315635052.

It can be divided in two parts, 3455 and 51700, that added together give a palindrome (55155).

The spelling of 345551700 in words is "three hundred forty-five million, five hundred fifty-one thousand, seven hundred".