3781583940 has 72 divisors (see below), whose sum is σ = 10643330880. Its totient is φ = 1003213376.

The previous prime is 3781583933. The next prime is 3781583983. The reversal of 3781583940 is 493851873.

It is a self number, because there is not a number n which added to its sum of digits gives 3781583940.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9025051 + ... + 9025469.

It is an arithmetic number, because the mean of its divisors is an integer number (147824040).

Almost surely, 2^3781583940 is an apocalyptic number.

3781583940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3781583940 is an abundant number, since it is smaller than the sum of its proper divisors (6861746940).

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

3781583940 is a wasteful number, since it uses less digits than its factorization.

3781583940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 3781583940 is about 61494.5846396250. The cubic root of 3781583940 is about 1557.9657821581.

The spelling of 3781583940 in words is "three billion, seven hundred eighty-one million, five hundred eighty-three thousand, nine hundred forty".