34382721984 has 224 divisors, whose sum is σ = 101435099136. Its totient is φ = 10207088640.

The previous prime is 34382721973. The next prime is 34382722001. The reversal of 34382721984 is 48912728343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45419334 + ... + 45420090.

It is an arithmetic number, because the mean of its divisors is an integer number (452835264).

Almost surely, 2^34382721984 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 34382721984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50717549568).

34382721984 is an abundant number, since it is smaller than the sum of its proper divisors (67052377152).

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

34382721984 is a wasteful number, since it uses less digits than its factorization.

34382721984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1393 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The spelling of 34382721984 in words is "thirty-four billion, three hundred eighty-two million, seven hundred twenty-one thousand, nine hundred eighty-four".