3783146328 has 96 divisors (see below), whose sum is σ = 11141588640. Its totient is φ = 1152714240.

The previous prime is 3783146303. The next prime is 3783146371. The reversal of 3783146328 is 8236413873.

3783146328 is a `hidden beast` number, since 3 + 7 + 8 + 3 + 1 + 4 + 632 + 8 = 666.

It is a super-2 number, since 2×3783146328² = 28624392278119767168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76788 + ... + 116028.

It is an arithmetic number, because the mean of its divisors is an integer number (116058215).

Almost surely, 2^3783146328 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 3783146328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5570794320).

3783146328 is an abundant number, since it is smaller than the sum of its proper divisors (7358442312).

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

3783146328 is a wasteful number, since it uses less digits than its factorization.

3783146328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39369 (or 39362 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 3783146328 is about 61507.2867878270. The cubic root of 3783146328 is about 1558.1803141223.

The spelling of 3783146328 in words is "three billion, seven hundred eighty-three million, one hundred forty-six thousand, three hundred twenty-eight".