345124512 has 144 divisors (see below), whose sum is σ = 1051596000. Its totient is φ = 107039232.

The previous prime is 345124501. The next prime is 345124513. The reversal of 345124512 is 215421543.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×345124512² = 238221857566476288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345124513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322314 + ... + 323382.

It is an arithmetic number, because the mean of its divisors is an integer number (7302750).

Almost surely, 2^345124512 is an apocalyptic number.

345124512 is a gapful number since it is divisible by the number (32) 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 345124512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525798000).

345124512 is an abundant number, since it is smaller than the sum of its proper divisors (706471488).

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

345124512 is a wasteful number, since it uses less digits than its factorization.

345124512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1152 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 345124512 is about 18577.5270690154. The cubic root of 345124512 is about 701.4422725745.

The spelling of 345124512 in words is "three hundred forty-five million, one hundred twenty-four thousand, five hundred twelve".