3868235910 has 288 divisors, whose sum is σ = 13321780992. Its totient is φ = 768620160.

The previous prime is 3868235881. The next prime is 3868235941. The reversal of 3868235910 is 195328683.

It is a happy number.

3868235910 is a `hidden beast` number, since 38 + 6 + 8 + 23 + 591 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1113997 + ... + 1117463.

It is an arithmetic number, because the mean of its divisors is an integer number (46256184).

Almost surely, 2^3868235910 is an apocalyptic number.

3868235910 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3868235910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6660890496).

3868235910 is an abundant number, since it is smaller than the sum of its proper divisors (9453545082).

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

3868235910 is a wasteful number, since it uses less digits than its factorization.

3868235910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3868235910 is about 62195.1437814883. The cubic root of 3868235910 is about 1569.7758764279.

It can be divided in two parts, 3868 and 235910, that added together give a triangular number (239778 = T₆₉₂).

The spelling of 3868235910 in words is "three billion, eight hundred sixty-eight million, two hundred thirty-five thousand, nine hundred ten".