34038420 has 144 divisors (see below), whose sum is σ = 109753728. Its totient is φ = 7833600.

The previous prime is 34038419. The next prime is 34038421. The reversal of 34038420 is 2483043.

It is an interprime number because it is at equal distance from previous prime (34038419) and next prime (34038421).

It is a super-2 number, since 2×34038420² = 2317228072192800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34038421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225345 + ... + 225495.

Almost surely, 2^34038420 is an apocalyptic number.

34038420 is a gapful number since it is divisible by the number (30) 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 34038420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54876864).

34038420 is an abundant number, since it is smaller than the sum of its proper divisors (75715308).

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

34038420 is a wasteful number, since it uses less digits than its factorization.

34038420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 34038420 is about 5834.2454524985. The cubic root of 34038420 is about 324.0831595715.

The spelling of 34038420 in words is "thirty-four million, thirty-eight thousand, four hundred twenty".