3782976912 has 480 divisors, whose sum is σ = 13576214400. Its totient is φ = 999060480.

The previous prime is 3782976907. The next prime is 3782976961. The reversal of 3782976912 is 2196792873.

3782976912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12911038 + ... + 12911330.

It is an arithmetic number, because the mean of its divisors is an integer number (28283780).

Almost surely, 2^3782976912 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 3782976912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788107200).

3782976912 is an abundant number, since it is smaller than the sum of its proper divisors (9793237488).

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

3782976912 is a wasteful number, since it uses less digits than its factorization.

3782976912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 341 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 3782976912 is about 61505.9095697316. The cubic root of 3782976912 is about 1558.1570544161.

The spelling of 3782976912 in words is "three billion, seven hundred eighty-two million, nine hundred seventy-six thousand, nine hundred twelve".