3977562960 has 240 divisors, whose sum is σ = 15930480384. Its totient is φ = 869603328.

The previous prime is 3977562929. The next prime is 3977562977. The reversal of 3977562960 is 692657793.

3977562960 is a `hidden beast` number, since 3 + 9 + 7 + 7 + 5 + 629 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 3977562897 and 3977562906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98764 + ... + 133076.

Almost surely, 2^3977562960 is an apocalyptic number.

3977562960 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 3977562960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7965240192).

3977562960 is an abundant number, since it is smaller than the sum of its proper divisors (11952917424).

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

3977562960 is a wasteful number, since it uses less digits than its factorization.

3977562960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34362 (or 34353 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The square root of 3977562960 is about 63067.9233842371. The cubic root of 3977562960 is about 1584.4274366829.

The spelling of 3977562960 in words is "three billion, nine hundred seventy-seven million, five hundred sixty-two thousand, nine hundred sixty".