340270574112 has 384 divisors, whose sum is σ = 1145946009600. Its totient is φ = 96222117888.

The previous prime is 340270574089. The next prime is 340270574141. The reversal of 340270574112 is 211475072043.

340270574112 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 70 + 574 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278225533 + ... + 278226755.

It is an arithmetic number, because the mean of its divisors is an integer number (2984234400).

Almost surely, 2^340270574112 is an apocalyptic number.

340270574112 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 340270574112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572973004800).

340270574112 is an abundant number, since it is smaller than the sum of its proper divisors (805675435488).

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

340270574112 is a wasteful number, since it uses less digits than its factorization.

340270574112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 340270574112 in words is "three hundred forty billion, two hundred seventy million, five hundred seventy-four thousand, one hundred twelve".