3145409280 has 288 divisors, whose sum is σ = 12022153920. Its totient is φ = 774144000.

The previous prime is 3145409273. The next prime is 3145409287. The reversal of 3145409280 is 829045413.

3145409280 is a `hidden beast` number, since 31 + 4 + 540 + 9 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3145409273) and next prime (3145409287).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3145409287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445780 + ... + 452780.

It is an arithmetic number, because the mean of its divisors is an integer number (41743590).

Almost surely, 2^3145409280 is an apocalyptic number.

3145409280 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 3145409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011076960).

3145409280 is an abundant number, since it is smaller than the sum of its proper divisors (8876744640).

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

3145409280 is a wasteful number, since it uses less digits than its factorization.

3145409280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7044 (or 7024 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3145409280 is about 56083.9485057891. The cubic root of 3145409280 is about 1465.1847437541.

The spelling of 3145409280 in words is "three billion, one hundred forty-five million, four hundred nine thousand, two hundred eighty".