34349385744 has 80 divisors (see below), whose sum is σ = 98776386240. Its totient is φ = 11428784640.

The previous prime is 34349385713. The next prime is 34349385757. The reversal of 34349385744 is 44758394343.

It is a happy number.

34349385744 is a `hidden beast` number, since 3 + 4 + 3 + 493 + 85 + 74 + 4 = 666.

It is a super-2 number, since 2×34349385744² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163624 + ... + 308984.

It is an arithmetic number, because the mean of its divisors is an integer number (1234704828).

Almost surely, 2^34349385744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34349385744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49388193120).

34349385744 is an abundant number, since it is smaller than the sum of its proper divisors (64427000496).

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

34349385744 is a wasteful number, since it uses less digits than its factorization.

34349385744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145925 (or 145913 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 34349385744 in words is "thirty-four billion, three hundred forty-nine million, three hundred eighty-five thousand, seven hundred forty-four".