3086879040 has 336 divisors, whose sum is σ = 12849587712. Its totient is φ = 663994368.

The previous prime is 3086879011. The next prime is 3086879051. The reversal of 3086879040 is 409786803.

It is a happy number.

3086879040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

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, 338217 + ... + 347223.

Almost surely, 2^3086879040 is an apocalyptic number.

3086879040 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 3086879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6424793856).

3086879040 is an abundant number, since it is smaller than the sum of its proper divisors (9762708672).

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

3086879040 is a wasteful number, since it uses less digits than its factorization.

3086879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9054 (or 9041 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3086879040 is about 55559.6889840107. The cubic root of 3086879040 is about 1456.0396579787.

The spelling of 3086879040 in words is "three billion, eighty-six million, eight hundred seventy-nine thousand, forty".