3054579840 has 576 divisors, whose sum is σ = 12094631640. Its totient is φ = 706019328.

The previous prime is 3054579817. The next prime is 3054579851. The reversal of 3054579840 is 489754503.

3054579840 is a `hidden beast` number, since 30 + 5 + 4 + 579 + 8 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 933424704 + 2121155136 = 30552^2 + 46056^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27031624 + ... + 27031736.

Almost surely, 2^3054579840 is an apocalyptic number.

3054579840 is a gapful number since it is divisible by the number (30) 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 3054579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047315820).

3054579840 is an abundant number, since it is smaller than the sum of its proper divisors (9040051800).

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

3054579840 is a wasteful number, since it uses less digits than its factorization.

3054579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3054579840 is about 55268.2534553065. The cubic root of 3054579840 is about 1450.9434747572.

The spelling of 3054579840 in words is "three billion, fifty-four million, five hundred seventy-nine thousand, eight hundred forty".