3146204880 has 480 divisors, whose sum is σ = 13432473600. Its totient is φ = 641986560.

The previous prime is 3146204879. The next prime is 3146204899. The reversal of 3146204880 is 884026413.

3146204880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2030346 + ... + 2031894.

It is an arithmetic number, because the mean of its divisors is an integer number (27984320).

Almost surely, 2^3146204880 is an apocalyptic number.

3146204880 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 3146204880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6716236800).

3146204880 is an abundant number, since it is smaller than the sum of its proper divisors (10286268720).

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

3146204880 is a wasteful number, since it uses less digits than its factorization.

3146204880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3146204880 is about 56091.0409958667. The cubic root of 3146204880 is about 1465.3082679771.

The spelling of 3146204880 in words is "three billion, one hundred forty-six million, two hundred four thousand, eight hundred eighty".