3529937664 has 288 divisors, whose sum is σ = 12061889280. Its totient is φ = 1006387200.

The previous prime is 3529937533. The next prime is 3529937701. The reversal of 3529937664 is 4667399253.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3529937664.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1291179 + ... + 1293909.

It is an arithmetic number, because the mean of its divisors is an integer number (41881560).

Almost surely, 2^3529937664 is an apocalyptic number.

3529937664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3529937664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6030944640).

3529937664 is an abundant number, since it is smaller than the sum of its proper divisors (8531951616).

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

3529937664 is a wasteful number, since it uses less digits than its factorization.

3529937664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2764 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The square root of 3529937664 is about 59413.2785158335. The cubic root of 3529937664 is about 1522.6111719641.

The spelling of 3529937664 in words is "three billion, five hundred twenty-nine million, nine hundred thirty-seven thousand, six hundred sixty-four".