3400378136704 has 64 divisors (see below), whose sum is σ = 6840982512000. Its totient is φ = 1683430612992.

The previous prime is 3400378136699. The next prime is 3400378136767. The reversal of 3400378136704 is 4076318730043.

It is a tau number, because it is divible by the number of its divisors (64).

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, 113486077 + ... + 113516035.

It is an arithmetic number, because the mean of its divisors is an integer number (106890351750).

Almost surely, 2^{3400378136704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400378136704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420491256000).

3400378136704 is an abundant number, since it is smaller than the sum of its proper divisors (3440604375296).

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

3400378136704 is a wasteful number, since it uses less digits than its factorization.

3400378136704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38685 (or 38673 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 46.

The spelling of 3400378136704 in words is "three trillion, four hundred billion, three hundred seventy-eight million, one hundred thirty-six thousand, seven hundred four".