3977777664 has 360 divisors, whose sum is σ = 13584130560. Its totient is φ = 1117089792.

The previous prime is 3977777653. The next prime is 3977777681. The reversal of 3977777664 is 4667777793.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17837457 + ... + 17837679.

It is an arithmetic number, because the mean of its divisors is an integer number (37733696).

Almost surely, 2^3977777664 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 3977777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6792065280).

3977777664 is an abundant number, since it is smaller than the sum of its proper divisors (9606352896).

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

3977777664 is a wasteful number, since it uses less digits than its factorization.

3977777664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 314 counting only the distinct ones).

The product of its digits is 65345616, while the sum is 63.

The square root of 3977777664 is about 63069.6255260803. The cubic root of 3977777664 is about 1584.4559446572.

The spelling of 3977777664 in words is "three billion, nine hundred seventy-seven million, seven hundred seventy-seven thousand, six hundred sixty-four".