3472328000 has 112 divisors (see below), whose sum is σ = 8639696208. Its totient is φ = 1382400000.

The previous prime is 3472327951. The next prime is 3472328029. The reversal of 3472328000 is 8232743.

3472328000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1379082496 + 2093245504 = 37136^2 + 45752^2 .

It is a congruent number.

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, 1927100 + ... + 1928900.

Almost surely, 2^3472328000 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 3472328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319848104).

3472328000 is an abundant number, since it is smaller than the sum of its proper divisors (5167368208).

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

3472328000 is a wasteful number, since it uses less digits than its factorization.

3472328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 3472328000 is about 58926.4626462509. The cubic root of 3472328000 is about 1514.2825374156.

The spelling of 3472328000 in words is "three billion, four hundred seventy-two million, three hundred twenty-eight thousand".