3141004608 has 448 divisors, whose sum is σ = 11314176000. Its totient is φ = 834582528.

The previous prime is 3141004597. The next prime is 3141004649. The reversal of 3141004608 is 8064001413.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18156010 + ... + 18156182.

Almost surely, 2^3141004608 is an apocalyptic number.

3141004608 is a gapful number since it is divisible by the number (38) 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 3141004608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657088000).

3141004608 is an abundant number, since it is smaller than the sum of its proper divisors (8173171392).

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

3141004608 is a wasteful number, since it uses less digits than its factorization.

3141004608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3141004608 is about 56044.6661868906. Note that the first 3 decimals coincide. The cubic root of 3141004608 is about 1464.5005007357.

The spelling of 3141004608 in words is "three billion, one hundred forty-one million, four thousand, six hundred eight".