3146870880 has 144 divisors (see below), whose sum is σ = 10790632944. Its totient is φ = 835107840.

The previous prime is 3146870869. The next prime is 3146870891. The reversal of 3146870880 is 880786413.

It is an interprime number because it is at equal distance from previous prime (3146870869) and next prime (3146870891).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298662 + ... + 309018.

It is an arithmetic number, because the mean of its divisors is an integer number (74934951).

Almost surely, 2^3146870880 is an apocalyptic number.

3146870880 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 3146870880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395316472).

3146870880 is an abundant number, since it is smaller than the sum of its proper divisors (7643762064).

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

3146870880 is a wasteful number, since it uses less digits than its factorization.

3146870880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10589 (or 10578 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 3146870880 is about 56096.9774586831. The cubic root of 3146870880 is about 1465.4116545960.

The spelling of 3146870880 in words is "three billion, one hundred forty-six million, eight hundred seventy thousand, eight hundred eighty".