345321657900 has 216 divisors, whose sum is σ = 1206381692880. Its totient is φ = 82107371520.

The previous prime is 345321657893. The next prime is 345321657911. The reversal of 345321657900 is 9756123543.

345321657900 is a `hidden beast` number, since 3 + 4 + 53 + 21 + 6 + 579 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 303249 + ... + 884648.

It is an arithmetic number, because the mean of its divisors is an integer number (5585100430).

Almost surely, 2^345321657900 is an apocalyptic number.

345321657900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345321657900 is an abundant number, since it is smaller than the sum of its proper divisors (861060034980).

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

345321657900 is a wasteful number, since it uses less digits than its factorization.

345321657900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187953 (or 1187943 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 345321657900 in words is "three hundred forty-five billion, three hundred twenty-one million, six hundred fifty-seven thousand, nine hundred".