34192591420 has 144 divisors (see below), whose sum is σ = 80351780544. Its totient is φ = 12149222400.

The previous prime is 34192591417. The next prime is 34192591481. The reversal of 34192591420 is 2419529143.

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, 70210417 + ... + 70210903.

It is an arithmetic number, because the mean of its divisors is an integer number (557998476).

Almost surely, 2^34192591420 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 34192591420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40175890272).

34192591420 is an abundant number, since it is smaller than the sum of its proper divisors (46159189124).

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

34192591420 is a wasteful number, since it uses less digits than its factorization.

34192591420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 34192591420 in words is "thirty-four billion, one hundred ninety-two million, five hundred ninety-one thousand, four hundred twenty".