3896082240 has 448 divisors, whose sum is σ = 14010071040. Its totient is φ = 912384000.

The previous prime is 3896082193. The next prime is 3896082271. The reversal of 3896082240 is 422806983.

3896082240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3896082192 and 3896082201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15522115 + ... + 15522365.

It is an arithmetic number, because the mean of its divisors is an integer number (31272480).

Almost surely, 2^3896082240 is an apocalyptic number.

3896082240 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 3896082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7005035520).

3896082240 is an abundant number, since it is smaller than the sum of its proper divisors (10113988800).

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

3896082240 is a wasteful number, since it uses less digits than its factorization.

3896082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 3896082240 is about 62418.6049187260. The cubic root of 3896082240 is about 1573.5336637247.

The spelling of 3896082240 in words is "three billion, eight hundred ninety-six million, eighty-two thousand, two hundred forty".