34291998048 has 384 divisors, whose sum is σ = 114709561344. Its totient is φ = 8712345600.

The previous prime is 34291998047. The next prime is 34291998073. The reversal of 34291998048 is 84089919243.

It is a super-2 number, since 2×34291998048² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34291998047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117037390 + ... + 117037682.

It is an arithmetic number, because the mean of its divisors is an integer number (298722816).

Almost surely, 2^34291998048 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 34291998048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57354780672).

34291998048 is an abundant number, since it is smaller than the sum of its proper divisors (80417563296).

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

34291998048 is a wasteful number, since it uses less digits than its factorization.

34291998048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 34291998048 in words is "thirty-four billion, two hundred ninety-one million, nine hundred ninety-eight thousand, forty-eight".