345098358000 has 480 divisors, whose sum is σ = 1324452729600. Its totient is φ = 83051712000.

The previous prime is 345098357977. The next prime is 345098358053. The reversal of 345098358000 is 853890543.

It is a happy number.

345098358000 is a `hidden beast` number, since 3 + 450 + 98 + 35 + 80 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27515731 + ... + 27528269.

It is an arithmetic number, because the mean of its divisors is an integer number (2759276520).

Almost surely, 2^345098358000 is an apocalyptic number.

345098358000 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 345098358000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662226364800).

345098358000 is an abundant number, since it is smaller than the sum of its proper divisors (979354371600).

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

345098358000 is a wasteful number, since it uses less digits than its factorization.

345098358000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12718 (or 12699 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 345098358000 in words is "three hundred forty-five billion, ninety-eight million, three hundred fifty-eight thousand".