3977520 has 40 divisors (see below), whose sum is σ = 12331056. Its totient is φ = 1060608.

The previous prime is 3977509. The next prime is 3977527. The reversal of 3977520 is 257793.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (3977527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8047 + ... + 8526.

Almost surely, 2^3977520 is an apocalyptic number.

3977520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3977520 is an abundant number, since it is smaller than the sum of its proper divisors (8353536).

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

3977520 is a wasteful number, since it uses less digits than its factorization.

3977520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16589 (or 16583 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 3977520 is about 1994.3720816337. The cubic root of 3977520 is about 158.4421732416.

The spelling of 3977520 in words is "three million, nine hundred seventy-seven thousand, five hundred twenty".