3432020336640 has 2016 divisors, whose sum is σ = 14880096451584. Its totient is φ = 755812270080.

The previous prime is 3432020336639. The next prime is 3432020336687. The reversal of 3432020336640 is 466330202343.

3432020336640 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 0 + 2 + 0 + 3 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×3432020336640² (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 = 3432020336595 and 3432020336604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15119032207 + ... + 15119032433.

It is an arithmetic number, because the mean of its divisors is an integer number (7381000224).

Almost surely, 2^{3432020336640} is an apocalyptic number.

3432020336640 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 3432020336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440048225792).

3432020336640 is an abundant number, since it is smaller than the sum of its proper divisors (11448076114944).

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

3432020336640 is an equidigital number, since it uses as much as digits as its factorization.

3432020336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 3432020336640 its reverse (466330202343), we get a palindrome (3898350538983).

The spelling of 3432020336640 in words is "three trillion, four hundred thirty-two billion, twenty million, three hundred thirty-six thousand, six hundred forty".