3967314422400 has 2304 divisors, whose sum is σ = 17808697670400. Its totient is φ = 852797030400.

The previous prime is 3967314422347. The next prime is 3967314422413. The reversal of 3967314422400 is 42244137693.

3967314422400 is a `hidden beast` number, since 3 + 96 + 7 + 314 + 4 + 2 + 240 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6471964494 + ... + 6471965106.

It is an arithmetic number, because the mean of its divisors is an integer number (7729469475).

Almost surely, 2^{3967314422400} is an apocalyptic number.

3967314422400 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 3967314422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8904348835200).

3967314422400 is an abundant number, since it is smaller than the sum of its proper divisors (13841383248000).

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

3967314422400 is a wasteful number, since it uses less digits than its factorization.

3967314422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3967314422400 in words is "three trillion, nine hundred sixty-seven billion, three hundred fourteen million, four hundred twenty-two thousand, four hundred".