3268408536000 has 224 divisors, whose sum is σ = 11991428554560. Its totient is φ = 871575552000.

The previous prime is 3268408535957. The next prime is 3268408536007. The reversal of 3268408536000 is 6358048623.

It is a happy number.

3268408536000 is a `hidden beast` number, since 32 + 6 + 8 + 4 + 0 + 8 + 5 + 3 + 600 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3268408536007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7349761 + ... + 7781760.

It is an arithmetic number, because the mean of its divisors is an integer number (53533163190).

Almost surely, 2^{3268408536000} is an apocalyptic number.

3268408536000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3268408536000 is an abundant number, since it is smaller than the sum of its proper divisors (8723020018560).

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

3268408536000 is a wasteful number, since it uses less digits than its factorization.

3268408536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15131557 (or 15131531 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3268408536000 in words is "three trillion, two hundred sixty-eight billion, four hundred eight million, five hundred thirty-six thousand".