3201218977240 has 256 divisors, whose sum is σ = 7586784414720. Its totient is φ = 1214568284160.

The previous prime is 3201218977223. The next prime is 3201218977249. The reversal of 3201218977240 is 427798121023.

It is a super-3 number, since 3×3201218977240³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201218977249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4308504309 + ... + 4308505051.

It is an arithmetic number, because the mean of its divisors is an integer number (29635876620).

Almost surely, 2^{3201218977240} 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 3201218977240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793392207360).

3201218977240 is an abundant number, since it is smaller than the sum of its proper divisors (4385565437480).

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

3201218977240 is a wasteful number, since it uses less digits than its factorization.

3201218977240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 3201218977240 in words is "three trillion, two hundred one billion, two hundred eighteen million, nine hundred seventy-seven thousand, two hundred forty".