3402878078600 has 2304 divisors, whose sum is σ = 12020530636800. Its totient is φ = 877879296000.

The previous prime is 3402878078591. The next prime is 3402878078603. The reversal of 3402878078600 is 68708782043.

It is not an unprimeable number, because it can be changed into a prime (3402878078603) 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 575 ways as a sum of consecutive naturals, for example, 46614768164 + ... + 46614768236.

It is an arithmetic number, because the mean of its divisors is an integer number (5217244200).

Almost surely, 2^{3402878078600} 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 3402878078600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010265318400).

3402878078600 is an abundant number, since it is smaller than the sum of its proper divisors (8617652558200).

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

3402878078600 is a wasteful number, since it uses less digits than its factorization.

3402878078600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 53.

The spelling of 3402878078600 in words is "three trillion, four hundred two billion, eight hundred seventy-eight million, seventy-eight thousand, six hundred".