3454230528000 has 2176 divisors, whose sum is σ = 15389287280640. Its totient is φ = 747424972800.

The previous prime is 3454230527959. The next prime is 3454230528019. The reversal of 3454230528000 is 8250324543.

3454230528000 is a `hidden beast` number, since 3 + 4 + 542 + 30 + 5 + 2 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35610623952 + ... + 35610624048.

Almost surely, 2^{3454230528000} is an apocalyptic number.

3454230528000 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 3454230528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7694643640320).

3454230528000 is an abundant number, since it is smaller than the sum of its proper divisors (11935056752640).

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

3454230528000 is an frugal number, since it uses more digits than its factorization.

3454230528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 3454230528000 in words is "three trillion, four hundred fifty-four billion, two hundred thirty million, five hundred twenty-eight thousand".