3265448576400 has 180 divisors, whose sum is σ = 11354283288660. Its totient is φ = 869075020800.

The previous prime is 3265448576399. The next prime is 3265448576473. The reversal of 3265448576400 is 46758445623.

3265448576400 is a `hidden beast` number, since 3 + 2 + 6 + 54 + 485 + 76 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 116726089104 + 3148722487296 = 341652^2 + 1774464^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×3265448576400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 941370 + ... + 2723430.

Almost surely, 2^{3265448576400} is an apocalyptic number.

3265448576400 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 3265448576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677141644330).

3265448576400 is an abundant number, since it is smaller than the sum of its proper divisors (8088834712260).

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

3265448576400 is a wasteful number, since it uses less digits than its factorization.

3265448576400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782594 (or 1782580 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 3265448576400 in words is "three trillion, two hundred sixty-five billion, four hundred forty-eight million, five hundred seventy-six thousand, four hundred".