3830949648 has 160 divisors (see below), whose sum is σ = 11442124800. Its totient is φ = 1225728000.

The previous prime is 3830949641. The next prime is 3830949653. The reversal of 3830949648 is 8469490383.

It is a happy number.

It is a super-2 number, since 2×3830949648² = 29352350411022647808, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3830949594 and 3830949603.

It is not an unprimeable number, because it can be changed into a prime (3830949641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2392048 + ... + 2393648.

It is an arithmetic number, because the mean of its divisors is an integer number (71513280).

Almost surely, 2^3830949648 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 3830949648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721062400).

3830949648 is an abundant number, since it is smaller than the sum of its proper divisors (7611175152).

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

3830949648 is a wasteful number, since it uses less digits than its factorization.

3830949648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 3830949648 is about 61894.6657475424. The cubic root of 3830949648 is about 1564.7158480659.

The spelling of 3830949648 in words is "three billion, eight hundred thirty million, nine hundred forty-nine thousand, six hundred forty-eight".