346968900 has 144 divisors (see below), whose sum is σ = 1126802880. Its totient is φ = 91584000.

The previous prime is 346968893. The next prime is 346968913. The reversal of 346968900 is 9869643.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 288300 + ... + 289500.

It is an arithmetic number, because the mean of its divisors is an integer number (7825020).

Almost surely, 2^346968900 is an apocalyptic number.

346968900 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 346968900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563401440).

346968900 is an abundant number, since it is smaller than the sum of its proper divisors (779833980).

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

346968900 is a wasteful number, since it uses less digits than its factorization.

346968900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 346968900 is about 18627.1012237546. The cubic root of 346968900 is about 702.6895846437.

The spelling of 346968900 in words is "three hundred forty-six million, nine hundred sixty-eight thousand, nine hundred".