3849930000 has 750 divisors, whose sum is σ = 16364360166. Its totient is φ = 870912000.

The previous prime is 3849929999. The next prime is 3849930013. The reversal of 3849930000 is 399483.

It can be written as a sum of positive squares in 5 ways, for example, as 1605444624 + 2244485376 = 40068^2 + 47376^2 .

It is a tau number, because it is divible by the number of its divisors (750).

It is a super-2 number, since 2×3849930000² = 29643922009800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 39689952 + ... + 39690048.

Almost surely, 2^3849930000 is an apocalyptic number.

3849930000 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 3849930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8182180083).

3849930000 is an abundant number, since it is smaller than the sum of its proper divisors (12514430166).

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

3849930000 is an equidigital number, since it uses as much as digits as its factorization.

3849930000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3849930000 is about 62047.8041513155. The cubic root of 3849930000 is about 1567.2957083637.

The spelling of 3849930000 in words is "three billion, eight hundred forty-nine million, nine hundred thirty thousand".