3400106041792 has 56 divisors (see below), whose sum is σ = 7104709336400. Its totient is φ = 1610006409216.

The previous prime is 3400106041763. The next prime is 3400106041823. The reversal of 3400106041792 is 2971406010043.

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 7 ways as a sum of consecutive naturals, for example, 2951434 + ... + 3938422.

Almost surely, 2^{3400106041792} is an apocalyptic number.

3400106041792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3400106041792 is an abundant number, since it is smaller than the sum of its proper divisors (3704603294608).

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

3400106041792 is a wasteful number, since it uses less digits than its factorization.

3400106041792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989853 (or 989843 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 3400106041792 in words is "three trillion, four hundred billion, one hundred six million, forty-one thousand, seven hundred ninety-two".