3263753420928 has 2304 divisors, whose sum is σ = 13332664800000. Its totient is φ = 760611962880.

The previous prime is 3263753420867. The next prime is 3263753420957. The reversal of 3263753420928 is 8290243573623.

It is a happy number.

3263753420928 is a `hidden beast` number, since 3 + 2 + 63 + 7 + 534 + 20 + 9 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 36671386708 + ... + 36671386796.

It is an arithmetic number, because the mean of its divisors is an integer number (5786746875).

Almost surely, 2^{3263753420928} 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 3263753420928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666332400000).

3263753420928 is an abundant number, since it is smaller than the sum of its proper divisors (10068911379072).

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

3263753420928 is a wasteful number, since it uses less digits than its factorization.

3263753420928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 3263753420928 in words is "three trillion, two hundred sixty-three billion, seven hundred fifty-three million, four hundred twenty thousand, nine hundred twenty-eight".