3166744896 has 336 divisors, whose sum is σ = 11331407360. Its totient is φ = 856604160.

The previous prime is 3166744849. The next prime is 3166744907. The reversal of 3166744896 is 6984476613.

3166744896 is a `hidden beast` number, since 31 + 66 + 74 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2067651 + ... + 2069181.

Almost surely, 2^3166744896 is an apocalyptic number.

3166744896 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 3166744896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5665703680).

3166744896 is an abundant number, since it is smaller than the sum of its proper divisors (8164662464).

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

3166744896 is a wasteful number, since it uses less digits than its factorization.

3166744896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1562 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 3166744896 is about 56273.8384686881. The cubic root of 3166744896 is about 1468.4901114791.

The spelling of 3166744896 in words is "three billion, one hundred sixty-six million, seven hundred forty-four thousand, eight hundred ninety-six".