3808283040 has 240 divisors, whose sum is σ = 13875079680. Its totient is φ = 982679040.

The previous prime is 3808283027. The next prime is 3808283057. The reversal of 3808283040 is 403828083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 3808282986 and 3808283004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 397021 + ... + 406499.

It is an arithmetic number, because the mean of its divisors is an integer number (57812832).

Almost surely, 2^3808283040 is an apocalyptic number.

3808283040 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 3808283040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937539840).

3808283040 is an abundant number, since it is smaller than the sum of its proper divisors (10066796640).

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

3808283040 is a wasteful number, since it uses less digits than its factorization.

3808283040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9537 (or 9520 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3808283040 is about 61711.2877843268. The cubic root of 3808283040 is about 1561.6237530890.

The spelling of 3808283040 in words is "three billion, eight hundred eight million, two hundred eighty-three thousand, forty".