3940294176 has 576 divisors, whose sum is σ = 14947994880. Its totient is φ = 955514880.

The previous prime is 3940294147. The next prime is 3940294219. The reversal of 3940294176 is 6714920493.

It is a happy number.

3940294176 is a `hidden beast` number, since 394 + 0 + 2 + 94 + 176 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20415936 + ... + 20416128.

It is an arithmetic number, because the mean of its divisors is an integer number (25951380).

Almost surely, 2^3940294176 is an apocalyptic number.

3940294176 is a gapful number since it is divisible by the number (36) 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 3940294176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7473997440).

3940294176 is an abundant number, since it is smaller than the sum of its proper divisors (11007700704).

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

3940294176 is a wasteful number, since it uses less digits than its factorization.

3940294176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3940294176 is about 62771.7625688494. The cubic root of 3940294176 is about 1579.4633353352.

It can be divided in two parts, 3940 and 294176, that added together give a square (298116 = 546²).

The spelling of 3940294176 in words is "three billion, nine hundred forty million, two hundred ninety-four thousand, one hundred seventy-six".