3853984320 has 448 divisors, whose sum is σ = 15164409600. Its totient is φ = 915701760.

The previous prime is 3853984313. The next prime is 3853984333. The reversal of 3853984320 is 234893583.

3853984320 = T₉₅ + T₉₆ + ... + T₂₈₄₈.

3853984320 is a `hidden beast` number, since 3 + 8 + 539 + 84 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2790030 + ... + 2791410.

Almost surely, 2^3853984320 is an apocalyptic number.

3853984320 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 3853984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7582204800).

3853984320 is an abundant number, since it is smaller than the sum of its proper divisors (11310425280).

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

3853984320 is a wasteful number, since it uses less digits than its factorization.

3853984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3853984320 is about 62080.4664930927. The cubic root of 3853984320 is about 1567.8456827862.

The spelling of 3853984320 in words is "three billion, eight hundred fifty-three million, nine hundred eighty-four thousand, three hundred twenty".