3077268480 has 528 divisors, whose sum is σ = 12553579584. Its totient is φ = 687144960.

The previous prime is 3077268461. The next prime is 3077268529. The reversal of 3077268480 is 848627703.

It is a happy number.

3077268480 is a `hidden beast` number, since 307 + 7 + 268 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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 47 ways as a sum of consecutive naturals, for example, 6589207 + ... + 6589673.

Almost surely, 2^3077268480 is an apocalyptic number.

3077268480 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 3077268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276789792).

3077268480 is an abundant number, since it is smaller than the sum of its proper divisors (9476311104).

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

3077268480 is a wasteful number, since it uses less digits than its factorization.

3077268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 3077268480 is about 55473.1329564141. The cubic root of 3077268480 is about 1454.5270294636.

The spelling of 3077268480 in words is "three billion, seventy-seven million, two hundred sixty-eight thousand, four hundred eighty".