3868068480 has 192 divisors, whose sum is σ = 13099272480. Its totient is φ = 970670080.

The previous prime is 3868068443. The next prime is 3868068487. The reversal of 3868068480 is 848608683.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (3868068487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551395 + ... + 558365.

Almost surely, 2^3868068480 is an apocalyptic number.

3868068480 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 3868068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549636240).

3868068480 is an abundant number, since it is smaller than the sum of its proper divisors (9231204000).

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

3868068480 is a wasteful number, since it uses less digits than its factorization.

3868068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7027 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The square root of 3868068480 is about 62193.7977615132. The cubic root of 3868068480 is about 1569.7532277432.

The spelling of 3868068480 in words is "three billion, eight hundred sixty-eight million, sixty-eight thousand, four hundred eighty".