3802368240 has 480 divisors, whose sum is σ = 15242452992. Its totient is φ = 838656000.

The previous prime is 3802368203. The next prime is 3802368277. The reversal of 3802368240 is 428632083.

3802368240 is a `hidden beast` number, since 380 + 2 + 36 + 8 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (3802368203) and next prime (3802368277).

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 = 3802368195 and 3802368204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4173385 + ... + 4174295.

Almost surely, 2^3802368240 is an apocalyptic number.

3802368240 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 3802368240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7621226496).

3802368240 is an abundant number, since it is smaller than the sum of its proper divisors (11440084752).

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

3802368240 is a wasteful number, since it uses less digits than its factorization.

3802368240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3802368240 is about 61663.3460006834. The cubic root of 3802368240 is about 1560.8148602827.

The spelling of 3802368240 in words is "three billion, eight hundred two million, three hundred sixty-eight thousand, two hundred forty".