3104778378240 has 792 divisors, whose sum is σ = 13514321839200. Its totient is φ = 645140643840.

The previous prime is 3104778378227. The next prime is 3104778378311. The reversal of 3104778378240 is 428738774013.

3104778378240 is a `hidden beast` number, since 3 + 1 + 0 + 477 + 83 + 78 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38989986 + ... + 39069534.

Almost surely, 2^{3104778378240} is an apocalyptic number.

3104778378240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3104778378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6757160919600).

3104778378240 is an abundant number, since it is smaller than the sum of its proper divisors (10409543460960).

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

3104778378240 is a wasteful number, since it uses less digits than its factorization.

3104778378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79609 (or 79577 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 3104778378240 in words is "three trillion, one hundred four billion, seven hundred seventy-eight million, three hundred seventy-eight thousand, two hundred forty".