3268626048000 has 1232 divisors, whose sum is σ = 12766116744576. Its totient is φ = 833189068800.

The previous prime is 3268626047983. The next prime is 3268626048013. The reversal of 3268626048000 is 8406268623.

3268626048000 is a `hidden beast` number, since 32 + 6 + 8 + 6 + 2 + 604 + 8 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2146175239 + ... + 2146176761.

Almost surely, 2^{3268626048000} is an apocalyptic number.

3268626048000 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 3268626048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383058372288).

3268626048000 is an abundant number, since it is smaller than the sum of its proper divisors (9497490696576).

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

3268626048000 is an equidigital number, since it uses as much as digits as its factorization.

3268626048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3268626048000 in words is "three trillion, two hundred sixty-eight billion, six hundred twenty-six million, forty-eight thousand".