3977661904 has 60 divisors (see below), whose sum is σ = 8386799148. Its totient is φ = 1826099200.

The previous prime is 3977661893. The next prime is 3977661907. The reversal of 3977661904 is 4091667793.

3977661904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1098304 + 3976563600 = 1048^2 + 63060^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3977661907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179094 + ... + 200074.

Almost surely, 2^3977661904 is an apocalyptic number.

3977661904 is a gapful number since it is divisible by the number (34) 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 3977661904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193399574).

3977661904 is an abundant number, since it is smaller than the sum of its proper divisors (4409137244).

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

3977661904 is a wasteful number, since it uses less digits than its factorization.

3977661904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21064 (or 21041 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 52.

The square root of 3977661904 is about 63068.7078034741. The cubic root of 3977661904 is about 1584.4405743998.

The spelling of 3977661904 in words is "three billion, nine hundred seventy-seven million, six hundred sixty-one thousand, nine hundred four".