3977552217600 has 960 divisors, whose sum is σ = 15848665620480. Its totient is φ = 971241062400.

The previous prime is 3977552217557. The next prime is 3977552217601. The reversal of 3977552217600 is 67122557793.

3977552217600 is a `hidden beast` number, since 3 + 9 + 7 + 7 + 5 + 5 + 2 + 21 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3977552217601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 570582115 + ... + 570589085.

It is an arithmetic number, because the mean of its divisors is an integer number (16509026688).

Almost surely, 2^{3977552217600} is an apocalyptic number.

3977552217600 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 3977552217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7924332810240).

3977552217600 is an abundant number, since it is smaller than the sum of its proper divisors (11871113402880).

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

3977552217600 is a wasteful number, since it uses less digits than its factorization.

3977552217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7148 (or 7121 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 3977552217600 in words is "three trillion, nine hundred seventy-seven billion, five hundred fifty-two million, two hundred seventeen thousand, six hundred".