34498638720 has 1280 divisors, whose sum is σ = 155260385280. Its totient is φ = 7106641920.

The previous prime is 34498638719. The next prime is 34498638739. The reversal of 34498638720 is 2783689443.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 334938189 + ... + 334938291.

It is an arithmetic number, because the mean of its divisors is an integer number (121297176).

Almost surely, 2^34498638720 is an apocalyptic number.

34498638720 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 34498638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77630192640).

34498638720 is an abundant number, since it is smaller than the sum of its proper divisors (120761746560).

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

34498638720 is a wasteful number, since it uses less digits than its factorization.

34498638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 34498638720 in words is "thirty-four billion, four hundred ninety-eight million, six hundred thirty-eight thousand, seven hundred twenty".