3054648240 has 800 divisors, whose sum is σ = 13337241600. Its totient is φ = 640120320.

The previous prime is 3054648229. The next prime is 3054648251. The reversal of 3054648240 is 428464503.

3054648240 is a `hidden beast` number, since 3 + 0 + 5 + 4 + 648 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3054648229) and next prime (3054648251).

It is a super-3 number, since 3×3054648240³ (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3054648195 and 3054648204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 98537025 + ... + 98537055.

It is an arithmetic number, because the mean of its divisors is an integer number (16671552).

Almost surely, 2^3054648240 is an apocalyptic number.

3054648240 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 3054648240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6668620800).

3054648240 is an abundant number, since it is smaller than the sum of its proper divisors (10282593360).

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

3054648240 is a wasteful number, since it uses less digits than its factorization.

3054648240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3054648240 is about 55268.8722519286. The cubic root of 3054648240 is about 1450.9543048111.

The spelling of 3054648240 in words is "three billion, fifty-four million, six hundred forty-eight thousand, two hundred forty".