345608562750 has 256 divisors, whose sum is σ = 998652395520. Its totient is φ = 78780240000.

The previous prime is 345608562749. The next prime is 345608562751. The reversal of 345608562750 is 57265806543.

It is an interprime number because it is at equal distance from previous prime (345608562749) and next prime (345608562751).

It is a super-2 number, since 2×345608562750² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345608562693 and 345608562702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345608562751) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11179815 + ... + 11210685.

It is an arithmetic number, because the mean of its divisors is an integer number (3900985920).

Almost surely, 2^345608562750 is an apocalyptic number.

345608562750 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 345608562750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499326197760).

345608562750 is an abundant number, since it is smaller than the sum of its proper divisors (653043832770).

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

345608562750 is a wasteful number, since it uses less digits than its factorization.

345608562750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30984 (or 30974 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 345608562750 in words is "three hundred forty-five billion, six hundred eight million, five hundred sixty-two thousand, seven hundred fifty".