34079832 has 64 divisors (see below), whose sum is σ = 100245600. Its totient is φ = 10690560.

The previous prime is 34079827. The next prime is 34079839. The reversal of 34079832 is 23897043.

It is a super-2 number, since 2×34079832² = 2322869898296448, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34079839) 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, 969 + ... + 8312.

Almost surely, 2^34079832 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 34079832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50122800).

34079832 is an abundant number, since it is smaller than the sum of its proper divisors (66165768).

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

34079832 is a wasteful number, since it uses less digits than its factorization.

34079832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9313 (or 9303 counting only the distinct ones).

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

The square root of 34079832 is about 5837.7934187499. The cubic root of 34079832 is about 324.2145355552.

The spelling of 34079832 in words is "thirty-four million, seventy-nine thousand, eight hundred thirty-two".