3329538480 has 80 divisors (see below), whose sum is σ = 11468417760. Its totient is φ = 887876352.

The previous prime is 3329538467. The next prime is 3329538491. The reversal of 3329538480 is 848359233.

3329538480 is a `hidden beast` number, since 3 + 32 + 9 + 538 + 4 + 80 = 666.

3329538480 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 tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3329538480² = 22171652979601420800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 768567 + ... + 772886.

It is an arithmetic number, because the mean of its divisors is an integer number (143355222).

Almost surely, 2^3329538480 is an apocalyptic number.

3329538480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3329538480 is an abundant number, since it is smaller than the sum of its proper divisors (8138879280).

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

3329538480 is a wasteful number, since it uses less digits than its factorization.

3329538480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541475 (or 1541463 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3329538480 is about 57702.1531660648. The cubic root of 3329538480 is about 1493.2344911372.

The spelling of 3329538480 in words is "three billion, three hundred twenty-nine million, five hundred thirty-eight thousand, four hundred eighty".