3438779440300 has 36 divisors (see below), whose sum is σ = 7488519473176. Its totient is φ = 1370651299200.

The previous prime is 3438779440199. The next prime is 3438779440303. The reversal of 3438779440300 is 30449778343.

It is not an unprimeable number, because it can be changed into a prime (3438779440303) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 60727521 + ... + 60784120.

Almost surely, 2^{3438779440300} is an apocalyptic number.

It is an amenable number.

3438779440300 is an abundant number, since it is smaller than the sum of its proper divisors (4049740032876).

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

3438779440300 is a wasteful number, since it uses less digits than its factorization.

3438779440300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121511938 (or 121511931 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 52.

The spelling of 3438779440300 in words is "three trillion, four hundred thirty-eight billion, seven hundred seventy-nine million, four hundred forty thousand, three hundred".