345155970528 has 384 divisors, whose sum is σ = 1152383500800. Its totient is φ = 99809501184.

The previous prime is 345155970517. The next prime is 345155970553. The reversal of 345155970528 is 825079551543.

345155970528 is a `hidden beast` number, since 3 + 4 + 515 + 5 + 9 + 70 + 52 + 8 = 666.

It is a super-3 number, since 3×345155970528³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10308951 + ... + 10342377.

It is an arithmetic number, because the mean of its divisors is an integer number (3000998700).

Almost surely, 2^345155970528 is an apocalyptic number.

345155970528 is a gapful number since it is divisible by the number (38) 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 345155970528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576191750400).

345155970528 is an abundant number, since it is smaller than the sum of its proper divisors (807227530272).

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

345155970528 is a wasteful number, since it uses less digits than its factorization.

345155970528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33519 (or 33505 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 345155970528 in words is "three hundred forty-five billion, one hundred fifty-five million, nine hundred seventy thousand, five hundred twenty-eight".