3878949456480 has 192 divisors, whose sum is σ = 14785642851840. Its totient is φ = 834463064064.

The previous prime is 3878949456391. The next prime is 3878949456493. The reversal of 3878949456480 is 846549498783.

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 31 ways as a sum of consecutive naturals, for example, 33897270 + ... + 34011509.

It is an arithmetic number, because the mean of its divisors is an integer number (77008556520).

Almost surely, 2^{3878949456480} is an apocalyptic number.

3878949456480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3878949456480 is an abundant number, since it is smaller than the sum of its proper divisors (10906693395360).

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

3878949456480 is a wasteful number, since it uses less digits than its factorization.

3878949456480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67908821 (or 67908813 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 75.

The spelling of 3878949456480 in words is "three trillion, eight hundred seventy-eight billion, nine hundred forty-nine million, four hundred fifty-six thousand, four hundred eighty".