3240112291416 has 1536 divisors, whose sum is σ = 12924695347200. Its totient is φ = 705438720000.

The previous prime is 3240112291357. The next prime is 3240112291439. The reversal of 3240112291416 is 6141922110423.

3240112291416 is a `hidden beast` number, since 3 + 2 + 4 + 0 + 11 + 229 + 1 + 416 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5391201516 + ... + 5391202116.

It is an arithmetic number, because the mean of its divisors is an integer number (8414515200).

Almost surely, 2^{3240112291416} is an apocalyptic number.

3240112291416 is a gapful number since it is divisible by the number (36) 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 3240112291416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462347673600).

3240112291416 is an abundant number, since it is smaller than the sum of its proper divisors (9684583055784).

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

3240112291416 is a wasteful number, since it uses less digits than its factorization.

3240112291416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 3240112291416 in words is "three trillion, two hundred forty billion, one hundred twelve million, two hundred ninety-one thousand, four hundred sixteen".