3977212800 has 192 divisors, whose sum is σ = 14291228160. Its totient is φ = 964147200.

The previous prime is 3977212787. The next prime is 3977212823. The reversal of 3977212800 is 82127793.

3977212800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86769 + ... + 124431.

It is an arithmetic number, because the mean of its divisors is an integer number (74433480).

Almost surely, 2^3977212800 is an apocalyptic number.

3977212800 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 3977212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7145614080).

3977212800 is an abundant number, since it is smaller than the sum of its proper divisors (10314015360).

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

3977212800 is a wasteful number, since it uses less digits than its factorization.

3977212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37701 (or 37684 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 3977212800 is about 63065.1472685191. The cubic root of 3977212800 is about 1584.3809409267.

The spelling of 3977212800 in words is "three billion, nine hundred seventy-seven million, two hundred twelve thousand, eight hundred".