3914964 has 36 divisors (see below), whose sum is σ = 10479924. Its totient is φ = 1228032.

The previous prime is 3914957. The next prime is 3914983. The reversal of 3914964 is 4694193.

It can be written as a sum of positive squares in 2 ways, for example, as 1192464 + 2722500 = 1092^2 + 1650^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2587 + ... + 3810.

It is an arithmetic number, because the mean of its divisors is an integer number (291109).

Almost surely, 2^3914964 is an apocalyptic number.

3914964 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3914964 is an abundant number, since it is smaller than the sum of its proper divisors (6564960).

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

3914964 is a wasteful number, since it uses less digits than its factorization.

3914964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6424 (or 6419 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3914964 is about 1978.6267965435. The cubic root of 3914964 is about 157.6071530848.

The spelling of 3914964 in words is "three million, nine hundred fourteen thousand, nine hundred sixty-four".