3940272 has 80 divisors (see below), whose sum is σ = 12935680. Its totient is φ = 1124928.

The previous prime is 3940271. The next prime is 3940273. The reversal of 3940272 is 2720493.

3940272 is a `hidden beast` number, since 394 + 0 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (3940271) and next prime (3940273).

It is a super-3 number, since 3×3940272³ (a number of 21 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3940271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2373 + ... + 3675.

It is an arithmetic number, because the mean of its divisors is an integer number (161696).

Almost surely, 2^3940272 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 3940272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6467840).

3940272 is an abundant number, since it is smaller than the sum of its proper divisors (8995408).

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

3940272 is a wasteful number, since it uses less digits than its factorization.

3940272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3940272 is about 1985.0118387556. The cubic root of 3940272 is about 157.9460372253.

The spelling of 3940272 in words is "three million, nine hundred forty thousand, two hundred seventy-two".