34950973824 has 576 divisors, whose sum is σ = 115844929200. Its totient is φ = 10480803840.

The previous prime is 34950973753. The next prime is 34950973873. The reversal of 34950973824 is 42837905943.

34950973824 is a `hidden beast` number, since 3 + 49 + 509 + 73 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 320651082 + ... + 320651190.

Almost surely, 2^34950973824 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 34950973824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57922464600).

34950973824 is an abundant number, since it is smaller than the sum of its proper divisors (80893955376).

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

34950973824 is a wasteful number, since it uses less digits than its factorization.

34950973824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 34950973824 in words is "thirty-four billion, nine hundred fifty million, nine hundred seventy-three thousand, eight hundred twenty-four".