3890283378240 has 336 divisors, whose sum is σ = 14995386490752. Its totient is φ = 836900880384.

The previous prime is 3890283378209. The next prime is 3890283378251. The reversal of 3890283378240 is 428733820983.

3890283378240 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 (336).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 940504 + ... + 2943656.

Almost surely, 2^{3890283378240} is an apocalyptic number.

3890283378240 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 3890283378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7497693245376).

3890283378240 is an abundant number, since it is smaller than the sum of its proper divisors (11105103112512).

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

3890283378240 is a wasteful number, since it uses less digits than its factorization.

3890283378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003214 (or 2003187 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 3890283378240 in words is "three trillion, eight hundred ninety billion, two hundred eighty-three million, three hundred seventy-eight thousand, two hundred forty".