34084689408 has 960 divisors, whose sum is σ = 131661573120. Its totient is φ = 8515584000.

The previous prime is 34084689403. The next prime is 34084689413. The reversal of 34084689408 is 80498648043.

It is an interprime number because it is at equal distance from previous prime (34084689403) and next prime (34084689413).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34084689403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 480066013 + ... + 480066083.

It is an arithmetic number, because the mean of its divisors is an integer number (137147472).

Almost surely, 2^34084689408 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 34084689408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65830786560).

34084689408 is an abundant number, since it is smaller than the sum of its proper divisors (97576883712).

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

34084689408 is a wasteful number, since it uses less digits than its factorization.

34084689408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 34084689408 in words is "thirty-four billion, eighty-four million, six hundred eighty-nine thousand, four hundred eight".