34348378257792 has 256 divisors, whose sum is σ = 103504846636800. Its totient is φ = 11211401650176.

The previous prime is 34348378257727. The next prime is 34348378257811. The reversal of 34348378257792 is 29775287384343.

34348378257792 is a `hidden beast` number, since 3 + 4 + 3 + 48 + 3 + 7 + 8 + 2 + 577 + 9 + 2 = 666.

It is a super-2 number, since 2×34348378257792² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34348378257792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31883983 + ... + 32943665.

It is an arithmetic number, because the mean of its divisors is an integer number (404315807175).

Almost surely, 2^{34348378257792} is an apocalyptic number.

34348378257792 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 34348378257792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51752423318400).

34348378257792 is an abundant number, since it is smaller than the sum of its proper divisors (69156468379008).

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

34348378257792 is a wasteful number, since it uses less digits than its factorization.

34348378257792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059902 (or 1059884 counting only the distinct ones).

The product of its digits is 1706987520, while the sum is 72.

The spelling of 34348378257792 in words is "thirty-four trillion, three hundred forty-eight billion, three hundred seventy-eight million, two hundred fifty-seven thousand, seven hundred ninety-two".