3313142880 has 48 divisors (see below), whose sum is σ = 10436401584. Its totient is φ = 883504640.

The previous prime is 3313142863. The next prime is 3313142891. The reversal of 3313142880 is 882413133.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3450711 + ... + 3451670.

It is an arithmetic number, because the mean of its divisors is an integer number (217425033).

Almost surely, 2^3313142880 is an apocalyptic number.

3313142880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3313142880 is an abundant number, since it is smaller than the sum of its proper divisors (7123258704).

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

3313142880 is a wasteful number, since it uses less digits than its factorization.

3313142880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6902399 (or 6902391 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3313142880 is about 57559.9068797023. The cubic root of 3313142880 is about 1490.7794189494.

The spelling of 3313142880 in words is "three billion, three hundred thirteen million, one hundred forty-two thousand, eight hundred eighty".