3977338456224 has 1008 divisors, whose sum is σ = 14358833441568. Its totient is φ = 1079956136448.

The previous prime is 3977338456207. The next prime is 3977338456243. The reversal of 3977338456224 is 4226548337793.

3977338456224 is a `hidden beast` number, since 3 + 9 + 77 + 338 + 4 + 5 + 6 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 92496243147 + ... + 92496243189.

It is an arithmetic number, because the mean of its divisors is an integer number (14244874446).

Almost surely, 2^{3977338456224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3977338456224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7179416720784).

3977338456224 is an abundant number, since it is smaller than the sum of its proper divisors (10381494985344).

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

3977338456224 is an frugal number, since it uses more digits than its factorization.

3977338456224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 92 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 63.

The spelling of 3977338456224 in words is "three trillion, nine hundred seventy-seven billion, three hundred thirty-eight million, four hundred fifty-six thousand, two hundred twenty-four".