34091889552 has 160 divisors (see below), whose sum is σ = 114118688000. Its totient is φ = 9740497536.

The previous prime is 34091889521. The next prime is 34091889593. The reversal of 34091889552 is 25598819043.

34091889552 is a `hidden beast` number, since 3 + 4 + 0 + 9 + 1 + 8 + 89 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 33138 + ... + 263214.

It is an arithmetic number, because the mean of its divisors is an integer number (713241800).

Almost surely, 2^34091889552 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 34091889552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57059344000).

34091889552 is an abundant number, since it is smaller than the sum of its proper divisors (80026798448).

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

34091889552 is a wasteful number, since it uses less digits than its factorization.

34091889552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230115 (or 230089 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 34091889552 in words is "thirty-four billion, ninety-one million, eight hundred eighty-nine thousand, five hundred fifty-two".