345003422385600 has 5376 divisors, whose sum is σ = 1536906431692800. Its totient is φ = 74970593280000.

The previous prime is 345003422385577. The next prime is 345003422385607. The reversal of 345003422385600 is 6583224300543.

345003422385600 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 0 + 3 + 4 + 2 + 2 + 38 + 5 + 600 = 666.

It is a super-2 number, since 2×345003422385600² (a number of 30 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 (345003422385607) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2065888756717 + ... + 2065888756883.

It is an arithmetic number, because the mean of its divisors is an integer number (285882892800).

Almost surely, 2^{345003422385600} is an apocalyptic number.

345003422385600 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 345003422385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768453215846400).

345003422385600 is an abundant number, since it is smaller than the sum of its proper divisors (1191903009307200).

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

345003422385600 is a wasteful number, since it uses less digits than its factorization.

345003422385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 345003422385600 in words is "three hundred forty-five trillion, three billion, four hundred twenty-two million, three hundred eighty-five thousand, six hundred".