3546152828160 has 216 divisors, whose sum is σ = 11359232671584. Its totient is φ = 942834647040.

The previous prime is 3546152828159. The next prime is 3546152828311. The reversal of 3546152828160 is 618282516453.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478494855 + ... + 478502265.

Almost surely, 2^{3546152828160} is an apocalyptic number.

3546152828160 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 3546152828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679616335792).

3546152828160 is an abundant number, since it is smaller than the sum of its proper divisors (7813079843424).

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

3546152828160 is an frugal number, since it uses more digits than its factorization.

3546152828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8141 (or 7774 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 3546152828160 in words is "three trillion, five hundred forty-six billion, one hundred fifty-two million, eight hundred twenty-eight thousand, one hundred sixty".