3049656480 has 480 divisors, whose sum is σ = 12109958784. Its totient is φ = 717133824.

The previous prime is 3049656451. The next prime is 3049656499. The reversal of 3049656480 is 846569403.

3049656480 is a `hidden beast` number, since 3 + 0 + 4 + 9 + 6 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×3049656480³ (a number of 29 digits) contains 333 as substring.

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 79 ways as a sum of consecutive naturals, for example, 3874647 + ... + 3875433.

Almost surely, 2^3049656480 is an apocalyptic number.

3049656480 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 3049656480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054979392).

3049656480 is an abundant number, since it is smaller than the sum of its proper divisors (9060302304).

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

3049656480 is a wasteful number, since it uses less digits than its factorization.

3049656480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3049656480 is about 55223.6949144115. The cubic root of 3049656480 is about 1450.1635138630.

The spelling of 3049656480 in words is "three billion, forty-nine million, six hundred fifty-six thousand, four hundred eighty".