3942974822400 has 432 divisors, whose sum is σ = 14149028701080. Its totient is φ = 1049385369600.

The previous prime is 3942974822383. The next prime is 3942974822401. The reversal of 3942974822400 is 42284792493.

3942974822400 is a `hidden beast` number, since 3 + 94 + 2 + 9 + 74 + 82 + 2 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3942974822401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 240990220 + ... + 241006580.

Almost surely, 2^{3942974822400} is an apocalyptic number.

3942974822400 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 3942974822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7074514350540).

3942974822400 is an abundant number, since it is smaller than the sum of its proper divisors (10206053878680).

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

3942974822400 is a wasteful number, since it uses less digits than its factorization.

3942974822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16922 (or 16894 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3942974822400 in words is "three trillion, nine hundred forty-two billion, nine hundred seventy-four million, eight hundred twenty-two thousand, four hundred".