34019788640 has 96 divisors (see below), whose sum is σ = 83205027360. Its totient is φ = 13128908800.

The previous prime is 34019788637. The next prime is 34019788717. The reversal of 34019788640 is 4688791043.

It is a super-2 number, since 2×34019788640² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11185520 + ... + 11188560.

It is an arithmetic number, because the mean of its divisors is an integer number (866719035).

Almost surely, 2^34019788640 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 34019788640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41602513680).

34019788640 is an abundant number, since it is smaller than the sum of its proper divisors (49185238720).

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

34019788640 is a wasteful number, since it uses less digits than its factorization.

34019788640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5496 (or 5488 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 34019788640 in words is "thirty-four billion, nineteen million, seven hundred eighty-eight thousand, six hundred forty".