3290523264 has 576 divisors, whose sum is σ = 12189864960. Its totient is φ = 877879296.

The previous prime is 3290523263. The next prime is 3290523287. The reversal of 3290523264 is 4623250923.

It is a happy number.

3290523264 is a `hidden beast` number, since 329 + 0 + 5 + 2 + 326 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (3290523263) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25909569 + ... + 25909695.

It is an arithmetic number, because the mean of its divisors is an integer number (21162960).

Almost surely, 2^3290523264 is an apocalyptic number.

3290523264 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 3290523264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094932480).

3290523264 is an abundant number, since it is smaller than the sum of its proper divisors (8899341696).

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

3290523264 is a wasteful number, since it uses less digits than its factorization.

3290523264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3290523264 is about 57363.0827623481. The cubic root of 3290523264 is about 1487.3790333002.

It can be divided in two parts, 32905 and 23264, that added together give a square (56169 = 237²).

The spelling of 3290523264 in words is "three billion, two hundred ninety million, five hundred twenty-three thousand, two hundred sixty-four".