35664390 has 48 divisors (see below), whose sum is σ = 93195648. Its totient is φ = 9462528.

The previous prime is 35664371. The next prime is 35664397. The reversal of 35664390 is 9346653.

35664390 is a `hidden beast` number, since 3 + 5 + 6 + 643 + 9 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35664397) 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 23 ways as a sum of consecutive naturals, for example, 19182 + ... + 20958.

It is an arithmetic number, because the mean of its divisors is an integer number (1941576).

Almost surely, 2^35664390 is an apocalyptic number.

35664390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35664390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46597824).

35664390 is an abundant number, since it is smaller than the sum of its proper divisors (57531258).

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

35664390 is a wasteful number, since it uses less digits than its factorization.

35664390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 35664390 is about 5971.9670126349. The cubic root of 35664390 is about 329.1634458550.

It can be divided in two parts, 356 and 64390, that added together give a palindrome (64746).

The spelling of 35664390 in words is "thirty-five million, six hundred sixty-four thousand, three hundred ninety".