34073892 has 48 divisors (see below), whose sum is σ = 90737920. Its totient is φ = 11049696.

The previous prime is 34073891. The next prime is 34073909. The reversal of 34073892 is 29837043.

It is a super-2 number, since 2×34073892² = 2322060232055328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34073891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268 + ... + 8259.

Almost surely, 2^34073892 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 34073892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45368960).

34073892 is an abundant number, since it is smaller than the sum of its proper divisors (56664028).

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

34073892 is a wasteful number, since it uses less digits than its factorization.

34073892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8577 (or 8569 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 34073892 is about 5837.2846427085. The cubic root of 34073892 is about 324.1956979600.

The spelling of 34073892 in words is "thirty-four million, seventy-three thousand, eight hundred ninety-two".