3954474316800 has 792 divisors, whose sum is σ = 17033381768000. Its totient is φ = 856300584960.

The previous prime is 3954474316783. The next prime is 3954474316801. The reversal of 3954474316800 is 86134744593.

3954474316800 is a `hidden beast` number, since 3 + 9 + 5 + 4 + 474 + 3 + 168 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3954474316801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30578676 + ... + 30707724.

Almost surely, 2^{3954474316800} is an apocalyptic number.

3954474316800 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 3954474316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8516690884000).

3954474316800 is an abundant number, since it is smaller than the sum of its proper divisors (13078907451200).

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

3954474316800 is a wasteful number, since it uses less digits than its factorization.

3954474316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129111 (or 129085 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3954474316800 in words is "three trillion, nine hundred fifty-four billion, four hundred seventy-four million, three hundred sixteen thousand, eight hundred".