3846299520 has 256 divisors, whose sum is σ = 14311987200. Its totient is φ = 860307456.

The previous prime is 3846299497. The next prime is 3846299531. The reversal of 3846299520 is 259926483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3846299520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628636 + ... + 634724.

It is an arithmetic number, because the mean of its divisors is an integer number (55906200).

Almost surely, 2^3846299520 is an apocalyptic number.

3846299520 is a gapful number since it is divisible by the number (30) 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 3846299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7155993600).

3846299520 is an abundant number, since it is smaller than the sum of its proper divisors (10465687680).

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

3846299520 is a wasteful number, since it uses less digits than its factorization.

3846299520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6165 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 3846299520 is about 62018.5417435786. The cubic root of 3846299520 is about 1566.8029006826.

The spelling of 3846299520 in words is "three billion, eight hundred forty-six million, two hundred ninety-nine thousand, five hundred twenty".