3986403350400 has 576 divisors, whose sum is σ = 14891960603520. Its totient is φ = 1013457899520.

The previous prime is 3986403350389. The next prime is 3986403350459. The reversal of 3986403350400 is 40533046893.

3986403350400 is a `hidden beast` number, since 39 + 86 + 4 + 0 + 33 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 203346999 + ... + 203366601.

It is an arithmetic number, because the mean of its divisors is an integer number (25854098270).

Almost surely, 2^{3986403350400} is an apocalyptic number.

3986403350400 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 3986403350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7445980301760).

3986403350400 is an abundant number, since it is smaller than the sum of its proper divisors (10905557253120).

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

3986403350400 is a wasteful number, since it uses less digits than its factorization.

3986403350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19963 (or 19943 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 3986403350400 in words is "three trillion, nine hundred eighty-six billion, four hundred three million, three hundred fifty thousand, four hundred".