34738032824 has 128 divisors (see below), whose sum is σ = 75755243520. Its totient is φ = 14783731200.

The previous prime is 34738032817. The next prime is 34738032853. The reversal of 34738032824 is 42823083743.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 31 ways as a sum of consecutive naturals, for example, 19883519 + ... + 19885265.

It is an arithmetic number, because the mean of its divisors is an integer number (591837840).

Almost surely, 2^34738032824 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 34738032824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37877621760).

34738032824 is an abundant number, since it is smaller than the sum of its proper divisors (41017210696).

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

34738032824 is a wasteful number, since it uses less digits than its factorization.

34738032824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 44.

The spelling of 34738032824 in words is "thirty-four billion, seven hundred thirty-eight million, thirty-two thousand, eight hundred twenty-four".