3454128000 has 576 divisors, whose sum is σ = 13336006320. Its totient is φ = 856473600.

The previous prime is 3454127993. The next prime is 3454128011. The reversal of 3454128000 is 8214543.

3454128000 is a `hidden beast` number, since 345 + 41 + 280 + 0 + 0 = 666.

3454128000 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 (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41615959 + ... + 41616041.

Almost surely, 2^3454128000 is an apocalyptic number.

3454128000 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 3454128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6668003160).

3454128000 is an abundant number, since it is smaller than the sum of its proper divisors (9881878320).

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

3454128000 is a wasteful number, since it uses less digits than its factorization.

3454128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 3454128000 is about 58771.8299868228. The cubic root of 3454128000 is about 1511.6322276763.

The spelling of 3454128000 in words is "three billion, four hundred fifty-four million, one hundred twenty-eight thousand".