34023888 has 70 divisors (see below), whose sum is σ = 98870594. Its totient is φ = 11337408.

The previous prime is 34023881. The next prime is 34023893. The reversal of 34023888 is 88832043.

It is a happy number.

34023888 is a `hidden beast` number, since 340 + 238 + 88 = 666.

It is a Cunningham number, because it is equal to 5833²-1.

It can be written as a sum of positive squares in only one way, i.e., 34012224 + 11664 = 5832^2 + 108^2 .

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 (34023881) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 10206 + ... + 13122.

Almost surely, 2^34023888 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 34023888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49435297).

34023888 is an abundant number, since it is smaller than the sum of its proper divisors (64846706).

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

34023888 is an equidigital number, since it uses as much as digits as its factorization.

34023888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 34023888 is about 5832.9999142808. Note that the first 4 decimals coincide. The cubic root of 34023888 is about 324.0370328041.

The spelling of 34023888 in words is "thirty-four million, twenty-three thousand, eight hundred eighty-eight".