34301988 has 144 divisors (see below), whose sum is σ = 108653440. Its totient is φ = 9165312.

The previous prime is 34301959. The next prime is 34301989. The reversal of 34301988 is 88910343.

It is a super-5 number, since 5×34301988⁵ (a number of 39 digits) contains 55555 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (34301989) 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, 218406 + ... + 218562.

Almost surely, 2^34301988 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 34301988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54326720).

34301988 is an abundant number, since it is smaller than the sum of its proper divisors (74351452).

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

34301988 is a wasteful number, since it uses less digits than its factorization.

34301988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 34301988 is about 5856.7899057419. The cubic root of 34301988 is about 324.9174954280.

The spelling of 34301988 in words is "thirty-four million, three hundred one thousand, nine hundred eighty-eight".