3879285459840 has 1152 divisors, whose sum is σ = 16126108689600. Its totient is φ = 841454714880.

The previous prime is 3879285459839. The next prime is 3879285460009. The reversal of 3879285459840 is 489545829783.

3879285459840 is a `hidden beast` number, since 3 + 8 + 7 + 9 + 28 + 5 + 4 + 598 + 4 + 0 = 666.

3879285459840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2053617616 + ... + 2053619504.

Almost surely, 2^{3879285459840} is an apocalyptic number.

3879285459840 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 3879285459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8063054344800).

3879285459840 is an abundant number, since it is smaller than the sum of its proper divisors (12246823229760).

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

3879285459840 is a wasteful number, since it uses less digits than its factorization.

3879285459840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 3879285459840 in words is "three trillion, eight hundred seventy-nine billion, two hundred eighty-five million, four hundred fifty-nine thousand, eight hundred forty".