3472128000 has 576 divisors, whose sum is σ = 13752516960. Its totient is φ = 835584000.

The previous prime is 3472127987. The next prime is 3472128019. The reversal of 3472128000 is 8212743.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25343932 + ... + 25344068.

Almost surely, 2^3472128000 is an apocalyptic number.

3472128000 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 3472128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876258480).

3472128000 is an abundant number, since it is smaller than the sum of its proper divisors (10280388960).

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

3472128000 is a wasteful number, since it uses less digits than its factorization.

3472128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3472128000 is about 58924.7655913878. The cubic root of 3472128000 is about 1514.2534635183.

The spelling of 3472128000 in words is "three billion, four hundred seventy-two million, one hundred twenty-eight thousand".