3841286400 has 486 divisors, whose sum is σ = 15987402522. Its totient is φ = 877363200.

The previous prime is 3841286399. The next prime is 3841286413. The reversal of 3841286400 is 46821483.

3841286400 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 2 + 8 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 19079424 + 3822206976 = 4368^2 + 61824^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2821720 + ... + 2823080.

Almost surely, 2^3841286400 is an apocalyptic number.

3841286400 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 3841286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7993701261).

3841286400 is an abundant number, since it is smaller than the sum of its proper divisors (12146116122).

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

3841286400 is a wasteful number, since it uses less digits than its factorization.

3841286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3841286400 is about 61978.1122655410. The cubic root of 3841286400 is about 1566.1219010327.

The spelling of 3841286400 in words is "three billion, eight hundred forty-one million, two hundred eighty-six thousand, four hundred".