3266545508352 has 1344 divisors, whose sum is σ = 12281745312000. Its totient is φ = 852128169984.

The previous prime is 3266545508351. The next prime is 3266545508389. The reversal of 3266545508352 is 2538055456623.

3266545508352 is a `hidden beast` number, since 3 + 2 + 6 + 6 + 5 + 4 + 550 + 83 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×3266545508352² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3266545508351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5971746543 + ... + 5971747089.

Almost surely, 2^{3266545508352} is an apocalyptic number.

3266545508352 is a gapful number since it is divisible by the number (32) 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 3266545508352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140872656000).

3266545508352 is an abundant number, since it is smaller than the sum of its proper divisors (9015199803648).

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

3266545508352 is a wasteful number, since it uses less digits than its factorization.

3266545508352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 3266545508352 in words is "three trillion, two hundred sixty-six billion, five hundred forty-five million, five hundred eight thousand, three hundred fifty-two".