3964905 has 48 divisors (see below), whose sum is σ = 8072064. Its totient is φ = 1762560.

The previous prime is 3964903. The next prime is 3964907. The reversal of 3964905 is 5094693.

3964905 is a `hidden beast` number, since 3 + 9 + 649 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (3964903) and next prime (3964907).

It is not a de Polignac number, because 3964905 - 2¹ = 3964903 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3964905.

It is not an unprimeable number, because it can be changed into a prime (3964903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12762 + ... + 13068.

It is an arithmetic number, because the mean of its divisors is an integer number (168168).

Almost surely, 2^3964905 is an apocalyptic number.

3964905 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3964905 is an abundant number, since it is smaller than the sum of its proper divisors (4107159).

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

3964905 is a wasteful number, since it uses less digits than its factorization.

3964905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3964905 is about 1991.2069204380. The cubic root of 3964905 is about 158.2744921399.

It can be divided in two parts, 396490 and 5, that added together give a triangular number (396495 = T₈₉₀).

The spelling of 3964905 in words is "three million, nine hundred sixty-four thousand, nine hundred five".