3828969792 has 280 divisors, whose sum is σ = 11736945792. Its totient is φ = 1233792000.

The previous prime is 3828969779. The next prime is 3828969797. The reversal of 3828969792 is 2979698283.

3828969792 is a `hidden beast` number, since 382 + 89 + 6 + 97 + 92 = 666.

It is a super-2 number, since 2×3828969792² = 29322019336097046528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3828969797) by changing a digit.

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, 37174413 + ... + 37174515.

Almost surely, 2^3828969792 is an apocalyptic number.

3828969792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3828969792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5868472896).

3828969792 is an abundant number, since it is smaller than the sum of its proper divisors (7907976000).

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

3828969792 is a wasteful number, since it uses less digits than its factorization.

3828969792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 280 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The square root of 3828969792 is about 61878.6699275283. The cubic root of 3828969792 is about 1564.4462503447.

The spelling of 3828969792 in words is "three billion, eight hundred twenty-eight million, nine hundred sixty-nine thousand, seven hundred ninety-two".