34688016 has 120 divisors (see below), whose sum is σ = 107939520. Its totient is φ = 10310400.

The previous prime is 34687997. The next prime is 34688029. The reversal of 34688016 is 61088643.

It is a happy number.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 96445 + ... + 96803.

It is an arithmetic number, because the mean of its divisors is an integer number (899496).

Almost surely, 2^34688016 is an apocalyptic number.

34688016 is a gapful number since it is divisible by the number (36) 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 34688016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53969760).

34688016 is an abundant number, since it is smaller than the sum of its proper divisors (73251504).

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

34688016 is a wasteful number, since it uses less digits than its factorization.

34688016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 34688016 is about 5889.6533004923. The cubic root of 34688016 is about 326.1318046327.

Adding to 34688016 its product of nonzero digits (27648), we get a square (34715664 = 5892²).

The spelling of 34688016 in words is "thirty-four million, six hundred eighty-eight thousand, sixteen".