3321178480 has 80 divisors (see below), whose sum is σ = 8248695264. Its totient is φ = 1239203840.

The previous prime is 3321178477. The next prime is 3321178481. The reversal of 3321178480 is 848711233.

3321178480 is digitally balanced in base 2, because in such base 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 2×3321178480² = 22060452992030220800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321178481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142875 + ... + 164485.

Almost surely, 2^3321178480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3321178480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124347632).

3321178480 is an abundant number, since it is smaller than the sum of its proper divisors (4927516784).

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

3321178480 is a wasteful number, since it uses less digits than its factorization.

3321178480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21754 (or 21748 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 3321178480 is about 57629.6666657027. Note that the first 5 decimals coincide. The cubic root of 3321178480 is about 1491.9836768406.

The spelling of 3321178480 in words is "three billion, three hundred twenty-one million, one hundred seventy-eight thousand, four hundred eighty".