3064887540 has 576 divisors, whose sum is σ = 11835113472. Its totient is φ = 631065600.

The previous prime is 3064887493. The next prime is 3064887547. The reversal of 3064887540 is 457884603.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3064887547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18352537 + ... + 18352703.

It is an arithmetic number, because the mean of its divisors is an integer number (20547072).

Almost surely, 2^3064887540 is an apocalyptic number.

3064887540 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 3064887540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5917556736).

3064887540 is an abundant number, since it is smaller than the sum of its proper divisors (8770225932).

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

3064887540 is a wasteful number, since it uses less digits than its factorization.

3064887540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3064887540 is about 55361.4264628360. The cubic root of 3064887540 is about 1452.5737151818.

It can be divided in two parts, 306488 and 7540, that added together give a triangular number (314028 = T₇₉₂).

The spelling of 3064887540 in words is "three billion, sixty-four million, eight hundred eighty-seven thousand, five hundred forty".