3890082240 has 504 divisors, whose sum is σ = 15335676720. Its totient is φ = 927590400.

The previous prime is 3890082199. The next prime is 3890082241. The reversal of 3890082240 is 422800983.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3890082195 and 3890082204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3890082241) 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 71 ways as a sum of consecutive naturals, for example, 63771810 + ... + 63771870.

It is an arithmetic number, because the mean of its divisors is an integer number (30427930).

Almost surely, 2^3890082240 is an apocalyptic number.

3890082240 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 3890082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7667838360).

3890082240 is an abundant number, since it is smaller than the sum of its proper divisors (11445594480).

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

3890082240 is a wasteful number, since it uses less digits than its factorization.

3890082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3890082240 is about 62370.5238073242. The cubic root of 3890082240 is about 1572.7254969509.

The spelling of 3890082240 in words is "three billion, eight hundred ninety million, eighty-two thousand, two hundred forty".