3816429696 has 192 divisors, whose sum is σ = 11784427200. Its totient is φ = 1227985920.

The previous prime is 3816429689. The next prime is 3816429703. The reversal of 3816429696 is 6969246183.

It is an interprime number because it is at equal distance from previous prime (3816429689) and next prime (3816429703).

It is a tau number, because it is divible by the number of its divisors (192).

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

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 899901 + ... + 904131.

It is an arithmetic number, because the mean of its divisors is an integer number (61377225).

Almost surely, 2^3816429696 is an apocalyptic number.

3816429696 is a gapful number since it is divisible by the number (36) 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 3816429696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892213600).

3816429696 is an abundant number, since it is smaller than the sum of its proper divisors (7967997504).

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

3816429696 is an equidigital number, since it uses as much as digits as its factorization.

3816429696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289 (or 4265 counting only the distinct ones).

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

The square root of 3816429696 is about 61777.2587284350. The cubic root of 3816429696 is about 1562.7364986958.

The spelling of 3816429696 in words is "three billion, eight hundred sixteen million, four hundred twenty-nine thousand, six hundred ninety-six".