3977711712 has 432 divisors, whose sum is σ = 13455121680. Its totient is φ = 1148857344.

The previous prime is 3977711681. The next prime is 3977711753. The reversal of 3977711712 is 2171177793.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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 71 ways as a sum of consecutive naturals, for example, 36492714 + ... + 36492822.

It is an arithmetic number, because the mean of its divisors is an integer number (31146115).

Almost surely, 2^3977711712 is an apocalyptic number.

3977711712 is a gapful number since it is divisible by the number (32) 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 3977711712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6727560840).

3977711712 is an abundant number, since it is smaller than the sum of its proper divisors (9477409968).

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

3977711712 is a wasteful number, since it uses less digits than its factorization.

3977711712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 146 counting only the distinct ones).

The product of its digits is 129654, while the sum is 45.

The square root of 3977711712 is about 63069.1026731790. The cubic root of 3977711712 is about 1584.4471877897.

The spelling of 3977711712 in words is "three billion, nine hundred seventy-seven million, seven hundred eleven thousand, seven hundred twelve".