3272401801440 has 768 divisors, whose sum is σ = 12241684224000. Its totient is φ = 824234600448.

The previous prime is 3272401801411. The next prime is 3272401801451. The reversal of 3272401801440 is 441081042723.

3272401801440 is a `hidden beast` number, since 32 + 7 + 2 + 4 + 0 + 180 + 1 + 440 = 666.

3272401801440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3272401801440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3272401801395 and 3272401801404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3384075837 + ... + 3384076803.

It is an arithmetic number, because the mean of its divisors is an integer number (15939693000).

Almost surely, 2^{3272401801440} is an apocalyptic number.

3272401801440 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 3272401801440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120842112000).

3272401801440 is an abundant number, since it is smaller than the sum of its proper divisors (8969282422560).

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

3272401801440 is an equidigital number, since it uses as much as digits as its factorization.

3272401801440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 3272401801440 in words is "three trillion, two hundred seventy-two billion, four hundred one million, eight hundred one thousand, four hundred forty".