34394584440 has 128 divisors (see below), whose sum is σ = 104329451520. Its totient is φ = 9070272000.

The previous prime is 34394584429. The next prime is 34394584459. The reversal of 34394584440 is 4448549343.

It is a super-2 number, since 2×34394584440² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34394584440.

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, 18991135 + ... + 18992945.

It is an arithmetic number, because the mean of its divisors is an integer number (815073840).

Almost surely, 2^34394584440 is an apocalyptic number.

34394584440 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 34394584440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52164725760).

34394584440 is an abundant number, since it is smaller than the sum of its proper divisors (69934867080).

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

34394584440 is a wasteful number, since it uses less digits than its factorization.

34394584440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 34394584440 in words is "thirty-four billion, three hundred ninety-four million, five hundred eighty-four thousand, four hundred forty".