3525966288 has 400 divisors, whose sum is σ = 11682474496. Its totient is φ = 1018967040.

The previous prime is 3525966259. The next prime is 3525966289. The reversal of 3525966288 is 8826695253.

3525966288 is a `hidden beast` number, since 3 + 5 + 2 + 5 + 9 + 6 + 628 + 8 = 666.

3525966288 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3525966288² = 24864876528224997888, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3525966289) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22458306 + ... + 22458462.

Almost surely, 2^3525966288 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 3525966288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5841237248).

3525966288 is an abundant number, since it is smaller than the sum of its proper divisors (8156508208).

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

3525966288 is a wasteful number, since it uses less digits than its factorization.

3525966288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 249 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 3525966288 is about 59379.8474905418. The cubic root of 3525966288 is about 1522.0399503029.

The spelling of 3525966288 in words is "three billion, five hundred twenty-five million, nine hundred sixty-six thousand, two hundred eighty-eight".