3783762072 has 160 divisors (see below), whose sum is σ = 10886515200. Its totient is φ = 1227254976.

The previous prime is 3783762067. The next prime is 3783762127. The reversal of 3783762072 is 2702673873.

3783762072 is a `hidden beast` number, since 3 + 78 + 376 + 207 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 8618829 + ... + 8619267.

It is an arithmetic number, because the mean of its divisors is an integer number (68040720).

Almost surely, 2^3783762072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3783762072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443257600).

3783762072 is an abundant number, since it is smaller than the sum of its proper divisors (7102753128).

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

3783762072 is a wasteful number, since it uses less digits than its factorization.

3783762072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 3783762072 is about 61512.2920398842. The cubic root of 3783762072 is about 1558.2648458893.

The spelling of 3783762072 in words is "three billion, seven hundred eighty-three million, seven hundred sixty-two thousand, seventy-two".