3977712000 has 384 divisors, whose sum is σ = 14918454720. Its totient is φ = 1013760000.

The previous prime is 3977711971. The next prime is 3977712041. The reversal of 3977712000 is 2177793.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3311400 + ... + 3312600.

Almost surely, 2^3977712000 is an apocalyptic number.

3977712000 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 3977712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7459227360).

3977712000 is an abundant number, since it is smaller than the sum of its proper divisors (10940742720).

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

3977712000 is a wasteful number, since it uses less digits than its factorization.

3977712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 3977712000 is about 63069.1049563889. The cubic root of 3977712000 is about 1584.4472260295.

Adding to 3977712000 its reverse (2177793), we get a palindrome (3979889793).

The spelling of 3977712000 in words is "three billion, nine hundred seventy-seven million, seven hundred twelve thousand".