3264484982400 has 384 divisors, whose sum is σ = 11953976414400. Its totient is φ = 870028922880.

The previous prime is 3264484982383. The next prime is 3264484982441. The reversal of 3264484982400 is 42894844623.

It is a happy number.

3264484982400 is a `hidden beast` number, since 32 + 6 + 4 + 484 + 98 + 2 + 40 + 0 = 666.

3264484982400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164754894 + ... + 164774706.

Almost surely, 2^{3264484982400} is an apocalyptic number.

3264484982400 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 3264484982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976988207200).

3264484982400 is an abundant number, since it is smaller than the sum of its proper divisors (8689491432000).

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

3264484982400 is a wasteful number, since it uses less digits than its factorization.

3264484982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21753 (or 21730 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 3264484982400 in words is "three trillion, two hundred sixty-four billion, four hundred eighty-four million, nine hundred eighty-two thousand, four hundred".