3864833280 has 432 divisors, whose sum is σ = 16675311744. Its totient is φ = 802897920.

The previous prime is 3864833257. The next prime is 3864833281. The reversal of 3864833280 is 823384683.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3864833281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 884862 + ... + 889218.

Almost surely, 2^3864833280 is an apocalyptic number.

3864833280 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 3864833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8337655872).

3864833280 is an abundant number, since it is smaller than the sum of its proper divisors (12810478464).

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

3864833280 is a wasteful number, since it uses less digits than its factorization.

3864833280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 3864833280 is about 62167.7832964953. The cubic root of 3864833280 is about 1569.3154655732.

The spelling of 3864833280 in words is "three billion, eight hundred sixty-four million, eight hundred thirty-three thousand, two hundred eighty".