3813975 has 72 divisors (see below), whose sum is σ = 7892352. Its totient is φ = 1742400.

The previous prime is 3813959. The next prime is 3813983. The reversal of 3813975 is 5793183.

3813975 = T₃₈₄ + T₃₈₅ + ... + T₄₂₉.

It is not a de Polignac number, because 3813975 - 2⁴ = 3813959 is a prime.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56892 + ... + 56958.

It is an arithmetic number, because the mean of its divisors is an integer number (109616).

Almost surely, 2^3813975 is an apocalyptic number.

3813975 is an abundant number, since it is smaller than the sum of its proper divisors (4078377).

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

3813975 is a wasteful number, since it uses less digits than its factorization.

3813975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 3813975 is about 1952.9400912470. The cubic root of 3813975 is about 156.2401380442.

It can be divided in two parts, 381 and 3975, that added together give a square (4356 = 66²).

The spelling of 3813975 in words is "three million, eight hundred thirteen thousand, nine hundred seventy-five".