3263233313340 has 864 divisors, whose sum is σ = 13415550220800. Its totient is φ = 623467653120.

The previous prime is 3263233313267. The next prime is 3263233313407. The reversal of 3263233313340 is 433133323623.

3263233313340 is a `hidden beast` number, since 3 + 2 + 63 + 233 + 31 + 334 + 0 = 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 = 3263233313295 and 3263233313304.

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, 630086871 + ... + 630092049.

It is an arithmetic number, because the mean of its divisors is an integer number (15527257200).

Almost surely, 2^{3263233313340} is an apocalyptic number.

3263233313340 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 3263233313340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707775110400).

3263233313340 is an abundant number, since it is smaller than the sum of its proper divisors (10152316907460).

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

3263233313340 is a wasteful number, since it uses less digits than its factorization.

3263233313340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5507 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 36.

Adding to 3263233313340 its reverse (433133323623), we get a palindrome (3696366636963).

The spelling of 3263233313340 in words is "three trillion, two hundred sixty-three billion, two hundred thirty-three million, three hundred thirteen thousand, three hundred forty".