3782790800 has 30 divisors (see below), whose sum is σ = 9088155858. Its totient is φ = 1513116160.

The previous prime is 3782790799. The next prime is 3782790821. The reversal of 3782790800 is 80972873.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3984016 + 3778806784 = 1996^2 + 61472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4728089 + ... + 4728888.

Almost surely, 2^3782790800 is an apocalyptic number.

It is an amenable number.

3782790800 is an abundant number, since it is smaller than the sum of its proper divisors (5305365058).

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

3782790800 is a wasteful number, since it uses less digits than its factorization.

3782790800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9456995 (or 9456984 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 3782790800 is about 61504.3965908129. The cubic root of 3782790800 is about 1558.1315016580.

The spelling of 3782790800 in words is "three billion, seven hundred eighty-two million, seven hundred ninety thousand, eight hundred".