3413977497216 has 448 divisors, whose sum is σ = 11980044750240. Its totient is φ = 954955008000.

The previous prime is 3413977497209. The next prime is 3413977497241. The reversal of 3413977497216 is 6127947793143.

3413977497216 is a `hidden beast` number, since 3 + 4 + 139 + 7 + 7 + 497 + 2 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13215691 + ... + 13471541.

Almost surely, 2^{3413977497216} is an apocalyptic number.

3413977497216 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 3413977497216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5990022375120).

3413977497216 is an abundant number, since it is smaller than the sum of its proper divisors (8566067253024).

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

3413977497216 is a wasteful number, since it uses less digits than its factorization.

3413977497216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255907 (or 255880 counting only the distinct ones).

The product of its digits is 48009024, while the sum is 63.

It can be divided in two parts, 3413977 and 497216, that added together give a palindrome (3911193).

The spelling of 3413977497216 in words is "three trillion, four hundred thirteen billion, nine hundred seventy-seven million, four hundred ninety-seven thousand, two hundred sixteen".