35403664 has 40 divisors (see below), whose sum is σ = 72729720. Its totient is φ = 16665600.

The previous prime is 35403649. The next prime is 35403689. The reversal of 35403664 is 46630453.

It can be written as a sum of positive squares in 4 ways, for example, as 2226064 + 33177600 = 1492^2 + 5760^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18094 + ... + 19954.

It is an arithmetic number, because the mean of its divisors is an integer number (1818243).

Almost surely, 2^35403664 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 35403664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36364860).

35403664 is an abundant number, since it is smaller than the sum of its proper divisors (37326056).

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

35403664 is a wasteful number, since it uses less digits than its factorization.

35403664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 35403664 is about 5950.0978143220. The cubic root of 35403664 is about 328.3593622306.

The spelling of 35403664 in words is "thirty-five million, four hundred three thousand, six hundred sixty-four".