34976329344 has 192 divisors, whose sum is σ = 112353040800. Its totient is φ = 10352240640.

The previous prime is 34976329331. The next prime is 34976329403. The reversal of 34976329344 is 44392367943.

It is a happy number.

34976329344 is a `hidden beast` number, since 3 + 497 + 63 + 2 + 93 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×34976329344² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512802 + ... + 576990.

Almost surely, 2^34976329344 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 34976329344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56176520400).

34976329344 is an abundant number, since it is smaller than the sum of its proper divisors (77376711456).

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

34976329344 is a wasteful number, since it uses less digits than its factorization.

34976329344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64263 (or 64248 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 54.

The spelling of 34976329344 in words is "thirty-four billion, nine hundred seventy-six million, three hundred twenty-nine thousand, three hundred forty-four".