34221888 has 168 divisors, whose sum is σ = 106984800. Its totient is φ = 10423296.

The previous prime is 34221883. The next prime is 34221899. The reversal of 34221888 is 88812243.

It is a happy number.

It is a super-2 number, since 2×34221888² = 2342275236569088, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34221881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 580003 + ... + 580061.

Almost surely, 2^34221888 is an apocalyptic number.

34221888 is a gapful number since it is divisible by the number (38) 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 34221888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53492400).

34221888 is an abundant number, since it is smaller than the sum of its proper divisors (72762912).

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

34221888 is a wasteful number, since it uses less digits than its factorization.

34221888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 34221888 is about 5849.9476920738. The cubic root of 34221888 is about 324.6643888563.

It can be divided in two parts, 342 and 21888, that multiplied together give a square (7485696 = 2736²).

The spelling of 34221888 in words is "thirty-four million, two hundred twenty-one thousand, eight hundred eighty-eight".