34769088 has 140 divisors (see below), whose sum is σ = 108798360. Its totient is φ = 10948608.

The previous prime is 34769087. The next prime is 34769099. The reversal of 34769088 is 88096743.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34769087) 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 19 ways as a sum of consecutive naturals, for example, 98320 + ... + 98672.

Almost surely, 2^34769088 is an apocalyptic number.

34769088 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 34769088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54399180).

34769088 is an abundant number, since it is smaller than the sum of its proper divisors (74029272).

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

34769088 is a wasteful number, since it uses less digits than its factorization.

34769088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 34769088 is about 5896.5318620355. The cubic root of 34769088 is about 326.3856827630.

The spelling of 34769088 in words is "thirty-four million, seven hundred sixty-nine thousand, eighty-eight".