35489664 has 192 divisors, whose sum is σ = 121779840. Its totient is φ = 10077696.

The previous prime is 35489639. The next prime is 35489669. The reversal of 35489664 is 46698453.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-4 number, since 4×35489664⁴ (a number of 31 digits) contains 4444 as substring.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35489669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217647 + ... + 217809.

It is an arithmetic number, because the mean of its divisors is an integer number (634270).

Almost surely, 2^35489664 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 35489664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60889920).

35489664 is an abundant number, since it is smaller than the sum of its proper divisors (86290176).

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

35489664 is an equidigital number, since it uses as much as digits as its factorization.

35489664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 175 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 35489664 is about 5957.3202029100. The cubic root of 35489664 is about 328.6250227816.

The spelling of 35489664 in words is "thirty-five million, four hundred eighty-nine thousand, six hundred sixty-four".