3146977800 has 144 divisors (see below), whose sum is σ = 10742230980. Its totient is φ = 825408000.

The previous prime is 3146977787. The next prime is 3146977807. The reversal of 3146977800 is 87796413.

It can be written as a sum of positive squares in 6 ways, for example, as 1229063364 + 1917914436 = 35058^2 + 43794^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3146977807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95470 + ... + 124130.

Almost surely, 2^3146977800 is an apocalyptic number.

3146977800 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 3146977800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371115490).

3146977800 is an abundant number, since it is smaller than the sum of its proper divisors (7595253180).

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

3146977800 is a wasteful number, since it uses less digits than its factorization.

3146977800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28744 (or 28732 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 3146977800 is about 56097.9304431099. The cubic root of 3146977800 is about 1465.4282509807.

The spelling of 3146977800 in words is "three billion, one hundred forty-six million, nine hundred seventy-seven thousand, eight hundred".