3331744506 has 48 divisors (see below), whose sum is σ = 7630434240. Its totient is φ = 1047738240.

The previous prime is 3331744453. The next prime is 3331744517. The reversal of 3331744506 is 6054471333.

3331744506 is a `hidden beast` number, since 3 + 33 + 174 + 450 + 6 = 666.

It is a super-2 number, since 2×3331744506² = 22201042906522368072, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 62211 + ... + 102633.

It is an arithmetic number, because the mean of its divisors is an integer number (158967380).

Almost surely, 2^3331744506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3331744506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815217120).

3331744506 is an abundant number, since it is smaller than the sum of its proper divisors (4298689734).

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

3331744506 is a wasteful number, since it uses less digits than its factorization.

3331744506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40691 (or 40688 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3331744506 is about 57721.2656306149. The cubic root of 3331744506 is about 1493.5642051882.

The spelling of 3331744506 in words is "three billion, three hundred thirty-one million, seven hundred forty-four thousand, five hundred six".