3916440 has 192 divisors, whose sum is σ = 14826240. Its totient is φ = 887040.

The previous prime is 3916439. The next prime is 3916453. The reversal of 3916440 is 446193.

3916440 = T₇₃ + T₇₄ + ... + T₂₈₇.

3916440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1979²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91059 + ... + 91101.

It is an arithmetic number, because the mean of its divisors is an integer number (77220).

Almost surely, 2^3916440 is an apocalyptic number.

3916440 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 3916440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7413120).

3916440 is an abundant number, since it is smaller than the sum of its proper divisors (10909800).

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

3916440 is a wasteful number, since it uses less digits than its factorization.

3916440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 87 counting only the distinct ones).

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

The square root of 3916440 is about 1978.9997473471. Note that the first 3 decimals coincide. The cubic root of 3916440 is about 157.6269573477.

It can be divided in two parts, 39164 and 40, that added together give a square (39204 = 198²).

The spelling of 3916440 in words is "three million, nine hundred sixteen thousand, four hundred forty".