34978120632 has 384 divisors, whose sum is σ = 121185792000. Its totient is φ = 8918657280.

The previous prime is 34978120631. The next prime is 34978120649. The reversal of 34978120632 is 23602187943.

34978120632 is a `hidden beast` number, since 3 + 4 + 9 + 7 + 8 + 1 + 2 + 0 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34978120631) by changing a digit.

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, 34325419 + ... + 34326437.

It is an arithmetic number, because the mean of its divisors is an integer number (315588000).

Almost surely, 2^34978120632 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 34978120632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60592896000).

34978120632 is an abundant number, since it is smaller than the sum of its proper divisors (86207671368).

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

34978120632 is a wasteful number, since it uses less digits than its factorization.

34978120632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 34978120632 in words is "thirty-four billion, nine hundred seventy-eight million, one hundred twenty thousand, six hundred thirty-two".