3914144 has 36 divisors (see below), whose sum is σ = 8385174. Its totient is φ = 1787904.

The previous prime is 3914143. The next prime is 3914179. The reversal of 3914144 is 4414193.

3914144 = T₂₇₇ + T₂₇₈ + ... + T₃₅₄.

It can be written as a sum of positive squares in 3 ways, for example, as 2521744 + 1392400 = 1588^2 + 1180^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (3914143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40304 + ... + 40400.

Almost surely, 2^3914144 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 3914144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192587).

3914144 is an abundant number, since it is smaller than the sum of its proper divisors (4471030).

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

3914144 is an equidigital number, since it uses as much as digits as its factorization.

3914144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 112 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 3914144 is about 1978.4195712740. The cubic root of 3914144 is about 157.5961485656.

Multiplying 3914144 by its sum of digits (26), we get a square (101767744 = 10088²).

3914144 divided by its sum of digits (26) gives a square (150544 = 388²).

The spelling of 3914144 in words is "three million, nine hundred fourteen thousand, one hundred forty-four".