3146877888 has 448 divisors, whose sum is σ = 11587276800. Its totient is φ = 727695360.

The previous prime is 3146877857. The next prime is 3146877911. The reversal of 3146877888 is 8887786413.

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

It is a nude number because it is divisible by every one of its digits.

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, 4774903 + ... + 4775561.

Almost surely, 2^3146877888 is an apocalyptic number.

3146877888 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 3146877888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793638400).

3146877888 is an abundant number, since it is smaller than the sum of its proper divisors (8440398912).

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

3146877888 is a wasteful number, since it uses less digits than its factorization.

3146877888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 718 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 60.

The square root of 3146877888 is about 56097.0399219068. The cubic root of 3146877888 is about 1465.4127424064.

The spelling of 3146877888 in words is "three billion, one hundred forty-six million, eight hundred seventy-seven thousand, eight hundred eighty-eight".