345712389120 has 1408 divisors, whose sum is σ = 1499779584000. Its totient is φ = 75345887232.

The previous prime is 345712389107. The next prime is 345712389149. The reversal of 345712389120 is 21983217543.

It is a happy number.

345712389120 is a `hidden beast` number, since 34 + 571 + 2 + 38 + 9 + 12 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1090575202 + ... + 1090575518.

Almost surely, 2^345712389120 is an apocalyptic number.

345712389120 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 345712389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749889792000).

345712389120 is an abundant number, since it is smaller than the sum of its proper divisors (1154067194880).

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

345712389120 is a wasteful number, since it uses less digits than its factorization.

345712389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 345712389120 in words is "three hundred forty-five billion, seven hundred twelve million, three hundred eighty-nine thousand, one hundred twenty".