35813664 has 120 divisors (see below), whose sum is σ = 108216108. Its totient is φ = 11612160.

The previous prime is 35813653. The next prime is 35813677. The reversal of 35813664 is 46631853.

It can be written as a sum of positive squares in 2 ways, for example, as 30338064 + 5475600 = 5508^2 + 2340^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106104 + ... + 106440.

Almost surely, 2^35813664 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 35813664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54108054).

35813664 is an abundant number, since it is smaller than the sum of its proper divisors (72402444).

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

35813664 is a wasteful number, since it uses less digits than its factorization.

35813664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 383 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 35813664 is about 5984.4518545979. The cubic root of 35813664 is about 329.6220466291.

The spelling of 35813664 in words is "thirty-five million, eight hundred thirteen thousand, six hundred sixty-four".