3407144806780 has 48 divisors (see below), whose sum is σ = 8405878942944. Its totient is φ = 1143656997120.

The previous prime is 3407144806711. The next prime is 3407144806787. The reversal of 3407144806780 is 876084417043.

It is a happy number.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3407144806787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595651827 + ... + 595657546.

It is an arithmetic number, because the mean of its divisors is an integer number (175122477978).

Almost surely, 2^{3407144806780} is an apocalyptic number.

It is an amenable number.

3407144806780 is an abundant number, since it is smaller than the sum of its proper divisors (4998734136164).

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

3407144806780 is a wasteful number, since it uses less digits than its factorization.

3407144806780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191309406 (or 1191309404 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 52.

The spelling of 3407144806780 in words is "three trillion, four hundred seven billion, one hundred forty-four million, eight hundred six thousand, seven hundred eighty".