3413978539776 has 648 divisors, whose sum is σ = 11648546735280. Its totient is φ = 958644191232.

The previous prime is 3413978539759. The next prime is 3413978539781. The reversal of 3413978539776 is 6779358793143.

It is a happy number.

3413978539776 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 97 + 85 + 397 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3123493086 + ... + 3123494178.

Almost surely, 2^{3413978539776} is an apocalyptic number.

3413978539776 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 3413978539776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5824273367640).

3413978539776 is an abundant number, since it is smaller than the sum of its proper divisors (8234568195504).

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

3413978539776 is a wasteful number, since it uses less digits than its factorization.

3413978539776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1557 counting only the distinct ones).

The product of its digits is 720135360, while the sum is 72.

The spelling of 3413978539776 in words is "three trillion, four hundred thirteen billion, nine hundred seventy-eight million, five hundred thirty-nine thousand, seven hundred seventy-six".