3851366400 has 624 divisors, whose sum is σ = 16250944000. Its totient is φ = 875888640.

The previous prime is 3851366383. The next prime is 3851366401. The reversal of 3851366400 is 46631583.

3851366400 is a `hidden beast` number, since 3 + 8 + 5 + 1 + 3 + 6 + 640 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3851366401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19353501 + ... + 19353699.

Almost surely, 2^3851366400 is an apocalyptic number.

3851366400 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 3851366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8125472000).

3851366400 is an abundant number, since it is smaller than the sum of its proper divisors (12399577600).

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

3851366400 is a wasteful number, since it uses less digits than its factorization.

3851366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3851366400 is about 62059.3780181529. The cubic root of 3851366400 is about 1567.4906022650.

Adding to 3851366400 its reverse (46631583), we get a palindrome (3897997983).

The spelling of 3851366400 in words is "three billion, eight hundred fifty-one million, three hundred sixty-six thousand, four hundred".