3263041600 has 336 divisors, whose sum is σ = 10049995648. Its totient is φ = 1015234560.

The previous prime is 3263041583. The next prime is 3263041601. The reversal of 3263041600 is 61403623.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3263041601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10628647 + ... + 10628953.

Almost surely, 2^3263041600 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 3263041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5024997824).

3263041600 is an abundant number, since it is smaller than the sum of its proper divisors (6786954048).

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

3263041600 is a wasteful number, since it uses less digits than its factorization.

3263041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 3263041600 is about 57123.0391348360. The cubic root of 3263041600 is about 1483.2267072566.

The spelling of 3263041600 in words is "three billion, two hundred sixty-three million, forty-one thousand, six hundred".