3830943680 has 112 divisors (see below), whose sum is σ = 9375160320. Its totient is φ = 1490347008.

The previous prime is 3830943671. The next prime is 3830943689. The reversal of 3830943680 is 863490383.

3830943680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3830943671) and next prime (3830943689).

It is a super-2 number, since 2×3830943680² = 29352258958663884800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3830943689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2691449 + ... + 2692871.

Almost surely, 2^3830943680 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 3830943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687580160).

3830943680 is an abundant number, since it is smaller than the sum of its proper divisors (5544216640).

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

3830943680 is a wasteful number, since it uses less digits than its factorization.

3830943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The square root of 3830943680 is about 61894.6175365839. The cubic root of 3830943680 is about 1564.7150355407.

The spelling of 3830943680 in words is "three billion, eight hundred thirty million, nine hundred forty-three thousand, six hundred eighty".