3878921200 has 270 divisors, whose sum is σ = 11817078728. Its totient is φ = 1197715200.

The previous prime is 3878921183. The next prime is 3878921209. The reversal of 3878921200 is 21298783.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3878921209) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 36251547 + ... + 36251653.

Almost surely, 2^3878921200 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 3878921200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908539364).

3878921200 is an abundant number, since it is smaller than the sum of its proper divisors (7938157528).

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

3878921200 is a wasteful number, since it uses less digits than its factorization.

3878921200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 3878921200 is about 62280.9858624605. The cubic root of 3878921200 is about 1571.2199532581.

The spelling of 3878921200 in words is "three billion, eight hundred seventy-eight million, nine hundred twenty-one thousand, two hundred".