34490584128 has 672 divisors, whose sum is σ = 128892653568. Its totient is φ = 7993036800.

The previous prime is 34490584127. The next prime is 34490584129. The reversal of 34490584128 is 82148509443.

It is an interprime number because it is at equal distance from previous prime (34490584127) and next prime (34490584129).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (34490584127) 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, 41705251 + ... + 41706077.

It is an arithmetic number, because the mean of its divisors is an integer number (191804544).

Almost surely, 2^34490584128 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 34490584128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64446326784).

34490584128 is an abundant number, since it is smaller than the sum of its proper divisors (94402069440).

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

34490584128 is a wasteful number, since it uses less digits than its factorization.

34490584128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 34490584128 in words is "thirty-four billion, four hundred ninety million, five hundred eighty-four thousand, one hundred twenty-eight".