3763283328 has 160 divisors (see below), whose sum is σ = 12799641360. Its totient is φ = 1075203072.

The previous prime is 3763283323. The next prime is 3763283333. The reversal of 3763283328 is 8233823673.

3763283328 is a `hidden beast` number, since 3 + 7 + 632 + 8 + 3 + 3 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3763283323) and next prime (3763283333).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3763283323) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46650 + ... + 98502.

Almost surely, 2^3763283328 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 3763283328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399820680).

3763283328 is an abundant number, since it is smaller than the sum of its proper divisors (9036358032).

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

3763283328 is an equidigital number, since it uses as much as digits as its factorization.

3763283328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51886 (or 51865 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 3763283328 is about 61345.6056127902. The cubic root of 3763283328 is about 1555.4485085278.

The spelling of 3763283328 in words is "three billion, seven hundred sixty-three million, two hundred eighty-three thousand, three hundred twenty-eight".