34009088 has 78 divisors (see below), whose sum is σ = 74898504. Its totient is φ = 15409152.

The previous prime is 34009081. The next prime is 34009097. The reversal of 34009088 is 88090043.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34009081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1478645 + ... + 1478667.

Almost surely, 2^34009088 is an apocalyptic number.

34009088 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 34009088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37449252).

34009088 is an abundant number, since it is smaller than the sum of its proper divisors (40889416).

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

34009088 is an equidigital number, since it uses as much as digits as its factorization.

34009088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 34009088 is about 5831.7311323483. The cubic root of 34009088 is about 323.9900418623.

The spelling of 34009088 in words is "thirty-four million, nine thousand, eighty-eight".