342385277439744 has 4320 divisors, whose sum is σ = 1424207869894656. Its totient is φ = 79705866240000.

The previous prime is 342385277439707. The next prime is 342385277439749. The reversal of 342385277439744 is 447934772583243.

342385277439744 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 8 + 52 + 77 + 439 + 74 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342385277439749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 657169438204 + ... + 657169438724.

Almost surely, 2^{342385277439744} is an apocalyptic number.

342385277439744 is a gapful number since it is divisible by the number (34) 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 342385277439744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712103934947328).

342385277439744 is an abundant number, since it is smaller than the sum of its proper divisors (1081822592454912).

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

342385277439744 is a wasteful number, since it uses less digits than its factorization.

342385277439744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 663 counting only the distinct ones).

The product of its digits is 3413975040, while the sum is 72.

The spelling of 342385277439744 in words is "three hundred forty-two trillion, three hundred eighty-five billion, two hundred seventy-seven million, four hundred thirty-nine thousand, seven hundred forty-four".