34251872 has 48 divisors (see below), whose sum is σ = 72394560. Its totient is φ = 15894528.

The previous prime is 34251863. The next prime is 34251883. The reversal of 34251872 is 27815243.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42578 + ... + 43374.

It is an arithmetic number, because the mean of its divisors is an integer number (1508220).

Almost surely, 2^34251872 is an apocalyptic number.

34251872 is a gapful number since it is divisible by the number (32) 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 34251872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36197280).

34251872 is an abundant number, since it is smaller than the sum of its proper divisors (38142688).

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

34251872 is a wasteful number, since it uses less digits than its factorization.

34251872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 895 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 34251872 is about 5852.5098889280. The cubic root of 34251872 is about 324.7591809704.

The spelling of 34251872 in words is "thirty-four million, two hundred fifty-one thousand, eight hundred seventy-two".