345670651950 has 192 divisors, whose sum is σ = 936057088512. Its totient is φ = 83907648000.

The previous prime is 345670651943. The next prime is 345670651979. The reversal of 345670651950 is 59156076543.

It is a junction number, because it is equal to n+sod(n) for n = 345670651893 and 345670651902.

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, 104715300 + ... + 104718600.

It is an arithmetic number, because the mean of its divisors is an integer number (4875297336).

Almost surely, 2^345670651950 is an apocalyptic number.

345670651950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345670651950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468028544256).

345670651950 is an abundant number, since it is smaller than the sum of its proper divisors (590386436562).

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

345670651950 is a wasteful number, since it uses less digits than its factorization.

345670651950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4059 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 51.

The spelling of 345670651950 in words is "three hundred forty-five billion, six hundred seventy million, six hundred fifty-one thousand, nine hundred fifty".