3147009408 has 384 divisors, whose sum is σ = 10104756480. Its totient is φ = 972601344.

The previous prime is 3147009401. The next prime is 3147009413. The reversal of 3147009408 is 8049007413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3147009401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37915735 + ... + 37915817.

It is an arithmetic number, because the mean of its divisors is an integer number (26314470).

Almost surely, 2^3147009408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3147009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052378240).

3147009408 is an abundant number, since it is smaller than the sum of its proper divisors (6957747072).

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

3147009408 is an equidigital number, since it uses as much as digits as its factorization.

3147009408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3147009408 is about 56098.2121640253. The cubic root of 3147009408 is about 1465.4331571800.

The spelling of 3147009408 in words is "three billion, one hundred forty-seven million, nine thousand, four hundred eight".