345630098000 has 320 divisors, whose sum is σ = 966625560576. Its totient is φ = 118333440000.

The previous prime is 345630097973. The next prime is 345630098003. The reversal of 345630098000 is 890036543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345630098003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25227152 + ... + 25240848.

Almost surely, 2^345630098000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345630098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483312780288).

345630098000 is an abundant number, since it is smaller than the sum of its proper divisors (620995462576).

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

345630098000 is a wasteful number, since it uses less digits than its factorization.

345630098000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13799 (or 13783 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 345630098000 in words is "three hundred forty-five billion, six hundred thirty million, ninety-eight thousand".