3977064 has 96 divisors (see below), whose sum is σ = 13278720. Its totient is φ = 1047168.

The previous prime is 3977063. The next prime is 3977069. The reversal of 3977064 is 4607793.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3977063) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6249 + ... + 6855.

It is an arithmetic number, because the mean of its divisors is an integer number (138320).

Almost surely, 2^3977064 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 3977064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639360).

3977064 is an abundant number, since it is smaller than the sum of its proper divisors (9301656).

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

3977064 is a wasteful number, since it uses less digits than its factorization.

3977064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3977064 is about 1994.2577566604. The cubic root of 3977064 is about 158.4361181794.

The spelling of 3977064 in words is "three million, nine hundred seventy-seven thousand, sixty-four".