3472640038896 has 320 divisors, whose sum is σ = 11013039882240. Its totient is φ = 921944540160.

The previous prime is 3472640038883. The next prime is 3472640038949. The reversal of 3472640038896 is 6988300462743.

It is a super-2 number, since 2×3472640038896² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26359686 + ... + 26491098.

It is an arithmetic number, because the mean of its divisors is an integer number (34415749632).

Almost surely, 2^{3472640038896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3472640038896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5506519941120).

3472640038896 is an abundant number, since it is smaller than the sum of its proper divisors (7540399843344).

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

3472640038896 is a wasteful number, since it uses less digits than its factorization.

3472640038896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131564 (or 131558 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 3472640038896 in words is "three trillion, four hundred seventy-two billion, six hundred forty million, thirty-eight thousand, eight hundred ninety-six".