3856787200 has 432 divisors, whose sum is σ = 12044229120. Its totient is φ = 1192181760.

The previous prime is 3856787197. The next prime is 3856787267. The reversal of 3856787200 is 27876583.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19577502 + ... + 19577698.

It is an arithmetic number, because the mean of its divisors is an integer number (27880160).

Almost surely, 2^3856787200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3856787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6022114560).

3856787200 is an abundant number, since it is smaller than the sum of its proper divisors (8187441920).

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

3856787200 is a wasteful number, since it uses less digits than its factorization.

3856787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The square root of 3856787200 is about 62103.0369627766. The cubic root of 3856787200 is about 1568.2256720865.

The spelling of 3856787200 in words is "three billion, eight hundred fifty-six million, seven hundred eighty-seven thousand, two hundred".