3351164544 has 288 divisors, whose sum is σ = 11938773600. Its totient is φ = 883464192.

The previous prime is 3351164521. The next prime is 3351164567. The reversal of 3351164544 is 4454611533.

3351164544 is a `hidden beast` number, since 3 + 3 + 5 + 1 + 1 + 645 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3351164521) and next prime (3351164567).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3351164544² = 22460607601925455872, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 3351164499 and 3351164508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1361587 + ... + 1364045.

It is an arithmetic number, because the mean of its divisors is an integer number (41454075).

Almost surely, 2^3351164544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3351164544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969386800).

3351164544 is an abundant number, since it is smaller than the sum of its proper divisors (8587609056).

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

3351164544 is a wasteful number, since it uses less digits than its factorization.

3351164544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2484 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 3351164544 is about 57889.2437677329. The cubic root of 3351164544 is about 1496.4604757482.

The spelling of 3351164544 in words is "three billion, three hundred fifty-one million, one hundred sixty-four thousand, five hundred forty-four".