34484697984 has 256 divisors, whose sum is σ = 101841696000. Its totient is φ = 10337310720.

The previous prime is 34484697959. The next prime is 34484697991. The reversal of 34484697984 is 48979648443.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 55710027 + ... + 55710645.

It is an arithmetic number, because the mean of its divisors is an integer number (397819125).

Almost surely, 2^34484697984 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 34484697984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50920848000).

34484697984 is an abundant number, since it is smaller than the sum of its proper divisors (67356998016).

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

34484697984 is a wasteful number, since it uses less digits than its factorization.

34484697984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 744 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 66.

The spelling of 34484697984 in words is "thirty-four billion, four hundred eighty-four million, six hundred ninety-seven thousand, nine hundred eighty-four".