3783138600 has 48 divisors (see below), whose sum is σ = 11727731520. Its totient is φ = 1008836800.

The previous prime is 3783138559. The next prime is 3783138677. The reversal of 3783138600 is 68313873.

3783138600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3152016 + ... + 3153215.

It is an arithmetic number, because the mean of its divisors is an integer number (244327740).

Almost surely, 2^3783138600 is an apocalyptic number.

3783138600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3783138600 is an abundant number, since it is smaller than the sum of its proper divisors (7944592920).

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

3783138600 is a wasteful number, since it uses less digits than its factorization.

3783138600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6305250 (or 6305241 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 3783138600 is about 61507.2239659700. The cubic root of 3783138600 is about 1558.1792531337.

The spelling of 3783138600 in words is "three billion, seven hundred eighty-three million, one hundred thirty-eight thousand, six hundred".