345850357500 has 210 divisors, whose sum is σ = 1133945590008. Its totient is φ = 92226276000.

The previous prime is 345850357481. The next prime is 345850357507. The reversal of 345850357500 is 5753058543.

345850357500 is a `hidden beast` number, since 3 + 45 + 8 + 50 + 3 + 57 + 500 = 666.

It is a super-2 number, since 2×345850357500² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345850357507) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 1727617 + ... + 1917383.

Almost surely, 2^345850357500 is an apocalyptic number.

345850357500 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 345850357500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566972795004).

345850357500 is an abundant number, since it is smaller than the sum of its proper divisors (788095232508).

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

345850357500 is an equidigital number, since it uses as much as digits as its factorization.

345850357500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189809 (or 189777 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 345850357500 in words is "three hundred forty-five billion, eight hundred fifty million, three hundred fifty-seven thousand, five hundred".