3829690368 has 520 divisors, whose sum is σ = 13986558432. Its totient is φ = 1019215872.

The previous prime is 3829690367. The next prime is 3829690373. The reversal of 3829690368 is 8630969283.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3829690363) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39481296 + ... + 39481392.

Almost surely, 2^3829690368 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 3829690368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993279216).

3829690368 is an abundant number, since it is smaller than the sum of its proper divisors (10156868064).

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

3829690368 is an equidigital number, since it uses as much as digits as its factorization.

3829690368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 3829690368 is about 61884.4921446399. The cubic root of 3829690368 is about 1564.5443821986.

The spelling of 3829690368 in words is "three billion, eight hundred twenty-nine million, six hundred ninety thousand, three hundred sixty-eight".