3257741143272 has 288 divisors, whose sum is σ = 10534122658080. Its totient is φ = 830191864320.

The previous prime is 3257741143243. The next prime is 3257741143273. The reversal of 3257741143272 is 2723411477523.

It is a happy number.

It is a super-2 number, since 2×3257741143272² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3257741143273) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36292398 + ... + 36382050.

It is an arithmetic number, because the mean of its divisors is an integer number (36576814785).

Almost surely, 2^{3257741143272} 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 3257741143272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267061329040).

3257741143272 is an abundant number, since it is smaller than the sum of its proper divisors (7276381514808).

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

3257741143272 is a wasteful number, since it uses less digits than its factorization.

3257741143272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89793 (or 89729 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 48.

The spelling of 3257741143272 in words is "three trillion, two hundred fifty-seven billion, seven hundred forty-one million, one hundred forty-three thousand, two hundred seventy-two".