34681088 has 72 divisors (see below), whose sum is σ = 79066008. Its totient is φ = 15040512.

The previous prime is 34681081. The next prime is 34681103. The reversal of 34681088 is 88018643.

34681088 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 4 ways, for example, as 12544 + 34668544 = 112^2 + 5888^2 .

It is a Smith number, since the sum of its digits (38) 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 (34681081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56270 + ... + 56882.

It is an arithmetic number, because the mean of its divisors is an integer number (1098139).

Almost surely, 2^34681088 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 34681088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39533004).

34681088 is an abundant number, since it is smaller than the sum of its proper divisors (44384920).

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

34681088 is a wasteful number, since it uses less digits than its factorization.

34681088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 34681088 is about 5889.0651210527. The cubic root of 34681088 is about 326.1100911628.

The spelling of 34681088 in words is "thirty-four million, six hundred eighty-one thousand, eighty-eight".