34058004 has 48 divisors (see below), whose sum is σ = 85333248. Its totient is φ = 10533888.

The previous prime is 34057979. The next prime is 34058023. The reversal of 34058004 is 40085043.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13749 + ... + 16035.

It is an arithmetic number, because the mean of its divisors is an integer number (1777776).

Almost surely, 2^34058004 is an apocalyptic number.

34058004 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34058004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42666624).

34058004 is an abundant number, since it is smaller than the sum of its proper divisors (51275244).

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

34058004 is a wasteful number, since it uses less digits than its factorization.

34058004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 34058004 is about 5835.9235772926. The cubic root of 34058004 is about 324.1453013882.

The spelling of 34058004 in words is "thirty-four million, fifty-eight thousand, four".