3977761320 has 384 divisors, whose sum is σ = 14877626400. Its totient is φ = 916217856.

The previous prime is 3977761309. The next prime is 3977761327. The reversal of 3977761320 is 231677793.

3977761320 is a `hidden beast` number, since 3 + 9 + 7 + 7 + 7 + 613 + 20 = 666.

3977761320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 652393764 + 3325367556 = 25542^2 + 57666^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3977761327) 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, 22992754 + ... + 22992926.

Almost surely, 2^3977761320 is an apocalyptic number.

3977761320 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 3977761320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7438813200).

3977761320 is an abundant number, since it is smaller than the sum of its proper divisors (10899865080).

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

3977761320 is a wasteful number, since it uses less digits than its factorization.

3977761320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 3977761320 is about 63069.4959548592. The cubic root of 3977761320 is about 1584.4537745691.

The spelling of 3977761320 in words is "three billion, nine hundred seventy-seven million, seven hundred sixty-one thousand, three hundred twenty".