3166493040 has 160 divisors (see below), whose sum is σ = 10931562240. Its totient is φ = 842482944.

The previous prime is 3166492999. The next prime is 3166493059. The reversal of 3166493040 is 403946613.

3166493040 is a `hidden beast` number, since 3 + 1 + 6 + 649 + 3 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3166492986 and 3166493004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1128279 + ... + 1131081.

It is an arithmetic number, because the mean of its divisors is an integer number (68322264).

Almost surely, 2^3166493040 is an apocalyptic number.

3166493040 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 3166493040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465781120).

3166493040 is an abundant number, since it is smaller than the sum of its proper divisors (7765069200).

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

3166493040 is a wasteful number, since it uses less digits than its factorization.

3166493040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3166493040 is about 56271.6006525494. The cubic root of 3166493040 is about 1468.4511800356.

The spelling of 3166493040 in words is "three billion, one hundred sixty-six million, four hundred ninety-three thousand, forty".