3075416064 has 336 divisors, whose sum is σ = 10427451840. Its totient is φ = 855244800.

The previous prime is 3075416033. The next prime is 3075416083. The reversal of 3075416064 is 4606145703.

It is a happy number.

3075416064 is a `hidden beast` number, since 3 + 0 + 7 + 5 + 41 + 606 + 4 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30449614 + ... + 30449714.

Almost surely, 2^3075416064 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 3075416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213725920).

3075416064 is an abundant number, since it is smaller than the sum of its proper divisors (7352035776).

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

3075416064 is a wasteful number, since it uses less digits than its factorization.

3075416064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3075416064 is about 55456.4339279042. The cubic root of 3075416064 is about 1454.2351114866.

The spelling of 3075416064 in words is "three billion, seventy-five million, four hundred sixteen thousand, sixty-four".