345144103260 has 192 divisors, whose sum is σ = 1086229315584. Its totient is φ = 81157580800.

The previous prime is 345144103243. The next prime is 345144103277. The reversal of 345144103260 is 62301441543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (345144103243) and next prime (345144103277).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4644517 + ... + 4718243.

It is an arithmetic number, because the mean of its divisors is an integer number (5657444352).

Almost surely, 2^345144103260 is an apocalyptic number.

345144103260 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 345144103260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543114657792).

345144103260 is an abundant number, since it is smaller than the sum of its proper divisors (741085212324).

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

345144103260 is a wasteful number, since it uses less digits than its factorization.

345144103260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73964 (or 73962 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 345144103260 in words is "three hundred forty-five billion, one hundred forty-four million, one hundred three thousand, two hundred sixty".