3078984960 has 432 divisors, whose sum is σ = 11651290560. Its totient is φ = 776355840.

The previous prime is 3078984929. The next prime is 3078984967. The reversal of 3078984960 is 694898703.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3078984897 and 3078984906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3078984967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5909500 + ... + 5910020.

It is an arithmetic number, because the mean of its divisors is an integer number (26970580).

Almost surely, 2^3078984960 is an apocalyptic number.

3078984960 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 3078984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5825645280).

3078984960 is an abundant number, since it is smaller than the sum of its proper divisors (8572305600).

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

3078984960 is an equidigital number, since it uses as much as digits as its factorization.

3078984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3078984960 is about 55488.6020728582. The cubic root of 3078984960 is about 1454.7974210471.

The spelling of 3078984960 in words is "three billion, seventy-eight million, nine hundred eighty-four thousand, nine hundred sixty".