35873696 has 72 divisors (see below), whose sum is σ = 77261184. Its totient is φ = 16369920.

The previous prime is 35873693. The next prime is 35873701. The reversal of 35873696 is 69637853.

Its product of digits (816480) is a multiple of the sum of its prime divisors (105).

It is a self number, because there is not a number n which added to its sum of digits gives 35873696.

It is not an unprimeable number, because it can be changed into a prime (35873693) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 834251 + ... + 834293.

It is an arithmetic number, because the mean of its divisors is an integer number (1073072).

Almost surely, 2^35873696 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 35873696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38630592).

35873696 is an abundant number, since it is smaller than the sum of its proper divisors (41387488).

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

35873696 is a wasteful number, since it uses less digits than its factorization.

35873696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 105 counting only the distinct ones).

The product of its digits is 816480, while the sum is 47.

The square root of 35873696 is about 5989.4654185495. The cubic root of 35873696 is about 329.8061181298.

The spelling of 35873696 in words is "thirty-five million, eight hundred seventy-three thousand, six hundred ninety-six".