3413988077760 has 560 divisors, whose sum is σ = 13766680620000. Its totient is φ = 796134998016.

The previous prime is 3413988077701. The next prime is 3413988077791. The reversal of 3413988077760 is 677708893143.

3413988077760 is a `hidden beast` number, since 3 + 41 + 398 + 80 + 7 + 77 + 60 = 666.

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 79 ways as a sum of consecutive naturals, for example, 6135616 + ... + 6668864.

It is an arithmetic number, because the mean of its divisors is an integer number (24583358250).

Almost surely, 2^{3413988077760} is an apocalyptic number.

3413988077760 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 3413988077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6883340310000).

3413988077760 is an abundant number, since it is smaller than the sum of its proper divisors (10352692542240).

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

3413988077760 is a wasteful number, since it uses less digits than its factorization.

3413988077760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533310 (or 533291 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 3413988077760 in words is "three trillion, four hundred thirteen billion, nine hundred eighty-eight million, seventy-seven thousand, seven hundred sixty".