3253105296 has 225 divisors, whose sum is σ = 10731530121. Its totient is φ = 919876608.

The previous prime is 3253105283. The next prime is 3253105307. The reversal of 3253105296 is 6925013523.

The square root of 3253105296 is 57036.

It is a perfect power (a square), and thus also a powerful number.

3253105296 is a `hidden beast` number, since 32 + 531 + 0 + 5 + 2 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1460768400 + 1792336896 = 38220^2 + 42336^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 3253105296.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 33537120 + ... + 33537216.

Almost surely, 2^3253105296 is an apocalyptic number.

3253105296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3253105296 is the 57036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3253105296

3253105296 is an abundant number, since it is smaller than the sum of its proper divisors (7478424825).

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

3253105296 is an frugal number, since it uses more digits than its factorization.

3253105296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The cubic root of 3253105296 is about 1481.7196495269.

Multiplying 3253105296 by its sum of digits (36), we get a square (117111790656 = 342216²).

3253105296 divided by its sum of digits (36) gives a square (90364036 = 9506²).

The spelling of 3253105296 in words is "three billion, two hundred fifty-three million, one hundred five thousand, two hundred ninety-six".