34007988 has 48 divisors (see below), whose sum is σ = 92188544. Its totient is φ = 9555840.

The previous prime is 34007977. The next prime is 34007989. The reversal of 34007988 is 88970043.

34007988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34007989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1806 + ... + 8442.

Almost surely, 2^34007988 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 34007988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46094272).

34007988 is an abundant number, since it is smaller than the sum of its proper divisors (58180556).

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

34007988 is a wasteful number, since it uses less digits than its factorization.

34007988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 34007988 is about 5831.6368199674. The cubic root of 34007988 is about 323.9865487481.

The spelling of 34007988 in words is "thirty-four million, seven thousand, nine hundred eighty-eight".