35345664 has 162 divisors, whose sum is σ = 110207370. Its totient is φ = 10881024.

The previous prime is 35345623. The next prime is 35345671. The reversal of 35345664 is 46654353.

It can be written as a sum of positive squares in only one way, i.e., 30470400 + 4875264 = 5520^2 + 2208^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1218802 + ... + 1218830.

Almost surely, 2^35345664 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 35345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55103685).

35345664 is an abundant number, since it is smaller than the sum of its proper divisors (74861706).

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

35345664 is a wasteful number, since it uses less digits than its factorization.

35345664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 57 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 35345664 is about 5945.2219470765. The cubic root of 35345664 is about 328.1799528099.

The spelling of 35345664 in words is "thirty-five million, three hundred forty-five thousand, six hundred sixty-four".