3852768240 has 100 divisors (see below), whose sum is σ = 13381257384. Its totient is φ = 1027403136.

The previous prime is 3852768221. The next prime is 3852768253. The reversal of 3852768240 is 428672583.

3852768240 is a `hidden beast` number, since 3 + 8 + 527 + 6 + 82 + 40 = 666.

3852768240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3852768240² = 29687646222305395200, 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 19 ways as a sum of consecutive naturals, for example, 290802 + ... + 303761.

Almost surely, 2^3852768240 is an apocalyptic number.

3852768240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3852768240 is an abundant number, since it is smaller than the sum of its proper divisors (9528489144).

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

3852768240 is a wasteful number, since it uses less digits than its factorization.

3852768240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594588 (or 594573 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3852768240 is about 62070.6713351805. The cubic root of 3852768240 is about 1567.6807602720.

The spelling of 3852768240 in words is "three billion, eight hundred fifty-two million, seven hundred sixty-eight thousand, two hundred forty".