345432971520 has 2592 divisors, whose sum is σ = 1657918160640. Its totient is φ = 67629219840.

The previous prime is 345432971519. The next prime is 345432971557. The reversal of 345432971520 is 25179234543.

It is a happy number.

345432971520 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 32 + 97 + 1 + 520 = 666.

It is a super-2 number, since 2×345432971520² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4865253085 + ... + 4865253155.

It is an arithmetic number, because the mean of its divisors is an integer number (639628920).

Almost surely, 2^345432971520 is an apocalyptic number.

345432971520 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 345432971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828959080320).

345432971520 is an abundant number, since it is smaller than the sum of its proper divisors (1312485189120).

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

345432971520 is a wasteful number, since it uses less digits than its factorization.

345432971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 345432971520 in words is "three hundred forty-five billion, four hundred thirty-two million, nine hundred seventy-one thousand, five hundred twenty".