3263455440 has 320 divisors, whose sum is σ = 12979883520. Its totient is φ = 738201600.

The previous prime is 3263455423. The next prime is 3263455451. The reversal of 3263455440 is 445543623.

3263455440 is a `hidden beast` number, since 3 + 2 + 63 + 4 + 554 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3263455395 and 3263455404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1526052 + ... + 1528188.

It is an arithmetic number, because the mean of its divisors is an integer number (40562136).

Almost surely, 2^3263455440 is an apocalyptic number.

3263455440 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 3263455440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6489941760).

3263455440 is an abundant number, since it is smaller than the sum of its proper divisors (9716428080).

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

3263455440 is a wasteful number, since it uses less digits than its factorization.

3263455440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 3263455440 is about 57126.6613762786. The cubic root of 3263455440 is about 1483.2894087345.

The spelling of 3263455440 in words is "three billion, two hundred sixty-three million, four hundred fifty-five thousand, four hundred forty".