3964140 has 60 divisors (see below), whose sum is σ = 12440736. Its totient is φ = 1056672.

The previous prime is 3964133. The next prime is 3964157. The reversal of 3964140 is 414693.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 397 + ... + 2843.

Almost surely, 2^3964140 is an apocalyptic number.

3964140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3964140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220368).

3964140 is an abundant number, since it is smaller than the sum of its proper divisors (8476596).

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

3964140 is a wasteful number, since it uses less digits than its factorization.

3964140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3964140 is about 1991.0148166199. The cubic root of 3964140 is about 158.2643121756.

The spelling of 3964140 in words is "three million, nine hundred sixty-four thousand, one hundred forty".