3940992 has 96 divisors (see below), whose sum is σ = 12411360. Its totient is φ = 1190400.

The previous prime is 3940987. The next prime is 3941011. The reversal of 3940992 is 2990493.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12517 + ... + 12827.

It is an arithmetic number, because the mean of its divisors is an integer number (129285).

Almost surely, 2^3940992 is an apocalyptic number.

3940992 is a gapful number since it is divisible by the number (32) 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 3940992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205680).

3940992 is an abundant number, since it is smaller than the sum of its proper divisors (8470368).

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

3940992 is a wasteful number, since it uses less digits than its factorization.

3940992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 3940992 is about 1985.1931895914. The cubic root of 3940992 is about 157.9556570537.

Adding to 3940992 its sum of digits (36), we get a triangular number (3941028 = T₂₈₀₇).

The spelling of 3940992 in words is "three million, nine hundred forty thousand, nine hundred ninety-two".