3263938560 has 360 divisors, whose sum is σ = 11961265680. Its totient is φ = 821035008.

The previous prime is 3263938549. The next prime is 3263938589. The reversal of 3263938560 is 658393623.

3263938560 is a `hidden beast` number, since 3 + 2 + 639 + 3 + 8 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14008204 + ... + 14008436.

It is an arithmetic number, because the mean of its divisors is an integer number (33225738).

Almost surely, 2^3263938560 is an apocalyptic number.

3263938560 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 3263938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5980632840).

3263938560 is an abundant number, since it is smaller than the sum of its proper divisors (8697327120).

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

3263938560 is a wasteful number, since it uses less digits than its factorization.

3263938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 3263938560 is about 57130.8897182601. The cubic root of 3263938560 is about 1483.3626002165.

The spelling of 3263938560 in words is "three billion, two hundred sixty-three million, nine hundred thirty-eight thousand, five hundred sixty".