35009403664 has 45 divisors (see below), whose sum is σ = 70293944383. Its totient is φ = 16890613376.

The previous prime is 35009403647. The next prime is 35009403691. The reversal of 35009403664 is 46630490053.

The square root of 35009403664 is 187108.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 787363600 + 34222040064 = 28060^2 + 184992^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21703722 + ... + 21705334.

Almost surely, 2^35009403664 is an apocalyptic number.

35009403664 is the 187108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35009403664

35009403664 is an abundant number, since it is smaller than the sum of its proper divisors (35284540719).

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

35009403664 is an frugal number, since it uses more digits than its factorization.

35009403664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The spelling of 35009403664 in words is "thirty-five billion, nine million, four hundred three thousand, six hundred sixty-four".