3268156572000 has 1536 divisors, whose sum is σ = 12935597875200. Its totient is φ = 809238988800.

The previous prime is 3268156571983. The next prime is 3268156572089. The reversal of 3268156572000 is 2756518623.

3268156572000 is a `hidden beast` number, since 3 + 2 + 6 + 81 + 565 + 7 + 2 + 0 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7444547781 + ... + 7444548219.

It is an arithmetic number, because the mean of its divisors is an integer number (8421613200).

Almost surely, 2^{3268156572000} is an apocalyptic number.

3268156572000 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 3268156572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6467798937600).

3268156572000 is an abundant number, since it is smaller than the sum of its proper divisors (9667441303200).

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

3268156572000 is an equidigital number, since it uses as much as digits as its factorization.

3268156572000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 3268156572000 in words is "three trillion, two hundred sixty-eight billion, one hundred fifty-six million, five hundred seventy-two thousand".