3064372416 has 168 divisors, whose sum is σ = 10061326080. Its totient is φ = 873524736.

The previous prime is 3064372403. The next prime is 3064372447. The reversal of 3064372416 is 6142734603.

It is a happy number.

3064372416 is a `hidden beast` number, since 3 + 0 + 643 + 7 + 2 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

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, 3334005 + ... + 3334923.

Almost surely, 2^3064372416 is an apocalyptic number.

3064372416 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 3064372416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030663040).

3064372416 is an abundant number, since it is smaller than the sum of its proper divisors (6996953664).

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

3064372416 is a wasteful number, since it uses less digits than its factorization.

3064372416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3064372416 is about 55356.7738944386. The cubic root of 3064372416 is about 1452.4923312814.

The spelling of 3064372416 in words is "three billion, sixty-four million, three hundred seventy-two thousand, four hundred sixteen".