3864853440 has 840 divisors, whose sum is σ = 17027865360. Its totient is φ = 826785792.

The previous prime is 3864853427. The next prime is 3864853453. The reversal of 3864853440 is 443584683.

3864853440 is a `hidden beast` number, since 38 + 6 + 48 + 534 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3864853427) and next prime (3864853453).

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×3864853440² = 29874184225359667200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21591271 + ... + 21591449.

Almost surely, 2^3864853440 is an apocalyptic number.

3864853440 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 3864853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8513932680).

3864853440 is an abundant number, since it is smaller than the sum of its proper divisors (13163011920).

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

3864853440 is a wasteful number, since it uses less digits than its factorization.

3864853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 3864853440 is about 62167.9454381436. The cubic root of 3864853440 is about 1569.3181942243.

The spelling of 3864853440 in words is "three billion, eight hundred sixty-four million, eight hundred fifty-three thousand, four hundred forty".