3253636080 has 320 divisors, whose sum is σ = 11575509120. Its totient is φ = 839614464.

The previous prime is 3253636079. The next prime is 3253636081. The reversal of 3253636080 is 806363523.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3253636079) and next prime (3253636081).

It is a super-3 number, since 3×3253636080³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3253636081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11104414 + ... + 11104706.

It is an arithmetic number, because the mean of its divisors is an integer number (36173466).

Almost surely, 2^3253636080 is an apocalyptic number.

3253636080 is a gapful number since it is divisible by the number (30) 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 3253636080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5787754560).

3253636080 is an abundant number, since it is smaller than the sum of its proper divisors (8321873040).

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

3253636080 is a wasteful number, since it uses less digits than its factorization.

3253636080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 453 counting only the distinct ones).

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

The square root of 3253636080 is about 57040.6528714390. The cubic root of 3253636080 is about 1481.8002320514.

The spelling of 3253636080 in words is "three billion, two hundred fifty-three million, six hundred thirty-six thousand, eighty".