3046384640 has 176 divisors, whose sum is σ = 8089121712. Its totient is φ = 1093533696.

The previous prime is 3046384637. The next prime is 3046384643. The reversal of 3046384640 is 464836403.

It is an interprime number because it is at equal distance from previous prime (3046384637) and next prime (3046384643).

It can be written as a sum of positive squares in 8 ways, for example, as 27541504 + 3018843136 = 5248^2 + 54944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3046384594 and 3046384603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3046384643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2462102 + ... + 2463338.

Almost surely, 2^3046384640 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 3046384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4044560856).

3046384640 is an abundant number, since it is smaller than the sum of its proper divisors (5042737072).

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

3046384640 is a wasteful number, since it uses less digits than its factorization.

3046384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The square root of 3046384640 is about 55194.0634488891. The cubic root of 3046384640 is about 1449.6447231043.

The spelling of 3046384640 in words is "three billion, forty-six million, three hundred eighty-four thousand, six hundred forty".