34091941752 has 192 divisors, whose sum is σ = 103382697600. Its totient is φ = 10061326080.

The previous prime is 34091941657. The next prime is 34091941777. The reversal of 34091941752 is 25714919043.

34091941752 is a `hidden beast` number, since 3 + 409 + 194 + 1 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34091941698 and 34091941707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5831743 + ... + 5837585.

It is an arithmetic number, because the mean of its divisors is an integer number (538451550).

Almost surely, 2^34091941752 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 34091941752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51691348800).

34091941752 is an abundant number, since it is smaller than the sum of its proper divisors (69290755848).

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

34091941752 is a wasteful number, since it uses less digits than its factorization.

34091941752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6058 (or 6051 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 34091941752 in words is "thirty-four billion, ninety-one million, nine hundred forty-one thousand, seven hundred fifty-two".