3816446400 has 1008 divisors, whose sum is σ = 16336975200. Its totient is φ = 836075520.

The previous prime is 3816446383. The next prime is 3816446423. The reversal of 3816446400 is 46446183.

3816446400 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 4 + 4 + 640 + 0 = 666.

3816446400 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 143 ways as a sum of consecutive naturals, for example, 103147182 + ... + 103147218.

Almost surely, 2^3816446400 is an apocalyptic number.

3816446400 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 3816446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8168487600).

3816446400 is an abundant number, since it is smaller than the sum of its proper divisors (12520528800).

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

3816446400 is a wasteful number, since it uses less digits than its factorization.

3816446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3816446400 is about 61777.3939236676. The cubic root of 3816446400 is about 1562.7387786551.

The spelling of 3816446400 in words is "three billion, eight hundred sixteen million, four hundred forty-six thousand, four hundred".