3411338013720 has 768 divisors, whose sum is σ = 14197380986880. Its totient is φ = 717382656000.

The previous prime is 3411338013719. The next prime is 3411338013731. The reversal of 3411338013720 is 273108331143.

3411338013720 is a `hidden beast` number, since 3 + 411 + 33 + 80 + 137 + 2 + 0 = 666.

It is a super-2 number, since 2×3411338013720² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 275079520 + ... + 275091920.

It is an arithmetic number, because the mean of its divisors is an integer number (18486173160).

Almost surely, 2^{3411338013720} is an apocalyptic number.

3411338013720 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 3411338013720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7098690493440).

3411338013720 is an abundant number, since it is smaller than the sum of its proper divisors (10786042973160).

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

3411338013720 is a wasteful number, since it uses less digits than its factorization.

3411338013720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12758 (or 12742 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 3411338013720 in words is "three trillion, four hundred eleven billion, three hundred thirty-eight million, thirteen thousand, seven hundred twenty".