34626354984 has 384 divisors, whose sum is σ = 113284080000. Its totient is φ = 9815675904.

The previous prime is 34626354949. The next prime is 34626355039. The reversal of 34626354984 is 48945362643.

34626354984 is a `hidden beast` number, since 3 + 4 + 626 + 3 + 5 + 4 + 9 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34626354984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17765242 + ... + 17767190.

It is an arithmetic number, because the mean of its divisors is an integer number (295010625).

Almost surely, 2^34626354984 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 34626354984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56642040000).

34626354984 is an abundant number, since it is smaller than the sum of its proper divisors (78657725016).

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

34626354984 is a wasteful number, since it uses less digits than its factorization.

34626354984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2023 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 34626354984 in words is "thirty-four billion, six hundred twenty-six million, three hundred fifty-four thousand, nine hundred eighty-four".