3782733120 has 84 divisors (see below), whose sum is σ = 13011035700. Its totient is φ = 1008728064.

The previous prime is 3782733113. The next prime is 3782733131. The reversal of 3782733120 is 213372873.

3782733120 is a `hidden beast` number, since 3 + 78 + 273 + 312 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2297093184 + 1485639936 = 47928^2 + 38544^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 653845 + ... + 659604.

Almost surely, 2^3782733120 is an apocalyptic number.

3782733120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3782733120 is an abundant number, since it is smaller than the sum of its proper divisors (9228302580).

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

3782733120 is a wasteful number, since it uses less digits than its factorization.

3782733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313472 (or 1313459 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3782733120 is about 61503.9276794580. The cubic root of 3782733120 is about 1558.1235821539.

The spelling of 3782733120 in words is "three billion, seven hundred eighty-two million, seven hundred thirty-three thousand, one hundred twenty".