3263863680 has 768 divisors, whose sum is σ = 14586163200. Its totient is φ = 675164160.

The previous prime is 3263863679. The next prime is 3263863699. The reversal of 3263863680 is 863683623.

3263863680 is a `hidden beast` number, since 3 + 2 + 6 + 3 + 8 + 636 + 8 + 0 = 666.

It is a super-2 number, since 2×3263863680² = 21305612243246284800, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 14636049 + ... + 14636271.

It is an arithmetic number, because the mean of its divisors is an integer number (18992400).

Almost surely, 2^3263863680 is an apocalyptic number.

3263863680 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 3263863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7293081600).

3263863680 is an abundant number, since it is smaller than the sum of its proper divisors (11322299520).

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

3263863680 is a wasteful number, since it uses less digits than its factorization.

3263863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3263863680 is about 57130.2343772542. The cubic root of 3263863680 is about 1483.3512565552.

The spelling of 3263863680 in words is "three billion, two hundred sixty-three million, eight hundred sixty-three thousand, six hundred eighty".