3868935840 has 480 divisors, whose sum is σ = 17027708544. Its totient is φ = 803727360.

The previous prime is 3868935773. The next prime is 3868935841. The reversal of 3868935840 is 485398683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3868935841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 995982 + ... + 999858.

Almost surely, 2^3868935840 is an apocalyptic number.

3868935840 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 3868935840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8513854272).

3868935840 is an abundant number, since it is smaller than the sum of its proper divisors (13158772704).

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

3868935840 is a wasteful number, since it uses less digits than its factorization.

3868935840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 3868935840 is about 62200.7704132352. The cubic root of 3868935840 is about 1569.8705506750.

It can be divided in two parts, 38689 and 35840, that added together give a square (74529 = 273²).

The spelling of 3868935840 in words is "three billion, eight hundred sixty-eight million, nine hundred thirty-five thousand, eight hundred forty".