345405070264320 has 2304 divisors, whose sum is σ = 1385535083063040. Its totient is φ = 81817554124800.

The previous prime is 345405070264279. The next prime is 345405070264327. The reversal of 345405070264320 is 23462070504543.

345405070264320 is a `hidden beast` number, since 3 + 4 + 54 + 0 + 507 + 0 + 2 + 64 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is not an unprimeable number, because it can be changed into a prime (345405070264327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 662965585660 + ... + 662965586180.

It is an arithmetic number, because the mean of its divisors is an integer number (601360713135).

Almost surely, 2^{345405070264320} is an apocalyptic number.

345405070264320 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 345405070264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692767541531520).

345405070264320 is an abundant number, since it is smaller than the sum of its proper divisors (1040130012798720).

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

345405070264320 is a wasteful number, since it uses less digits than its factorization.

345405070264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 345405070264320 in words is "three hundred forty-five trillion, four hundred five billion, seventy million, two hundred sixty-four thousand, three hundred twenty".