3868704000 has 864 divisors, whose sum is σ = 16912546560. Its totient is φ = 829440000.

The previous prime is 3868703989. The next prime is 3868704031. The reversal of 3868704000 is 4078683.

3868704000 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 Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38303950 + ... + 38304050.

Almost surely, 2^3868704000 is an apocalyptic number.

3868704000 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 3868704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8456273280).

3868704000 is an abundant number, since it is smaller than the sum of its proper divisors (13043842560).

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

3868704000 is a wasteful number, since it uses less digits than its factorization.

3868704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3868704000 is about 62198.9067428038. The cubic root of 3868704000 is about 1569.8391926932.

The spelling of 3868704000 in words is "three billion, eight hundred sixty-eight million, seven hundred four thousand".