3078479040 has 448 divisors, whose sum is σ = 12166640640. Its totient is φ = 642170880.

The previous prime is 3078479029. The next prime is 3078479057. The reversal of 3078479040 is 409748703.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3078478983 and 3078479001.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 11444026 + ... + 11444294.

It is an arithmetic number, because the mean of its divisors is an integer number (27157680).

Almost surely, 2^3078479040 is an apocalyptic number.

3078479040 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 3078479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6083320320).

3078479040 is an abundant number, since it is smaller than the sum of its proper divisors (9088161600).

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

3078479040 is a wasteful number, since it uses less digits than its factorization.

3078479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 3078479040 is about 55484.0431115109. The cubic root of 3078479040 is about 1454.7177355407.

The spelling of 3078479040 in words is "three billion, seventy-eight million, four hundred seventy-nine thousand, forty".