3546414144000 has 2560 divisors, whose sum is σ = 16987312742400. Its totient is φ = 708275404800.

The previous prime is 3546414143989. The next prime is 3546414144017. The reversal of 3546414144000 is 4414146453.

3546414144000 is a `hidden beast` number, since 3 + 5 + 4 + 641 + 4 + 1 + 4 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2987711407 + ... + 2987712593.

It is an arithmetic number, because the mean of its divisors is an integer number (6635669040).

Almost surely, 2^{3546414144000} is an apocalyptic number.

3546414144000 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 3546414144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8493656371200).

3546414144000 is an abundant number, since it is smaller than the sum of its proper divisors (13440898598400).

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

3546414144000 is a wasteful number, since it uses less digits than its factorization.

3546414144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

It can be divided in two parts, 354641 and 4144000, that added together give a square (4498641 = 2121²).

The spelling of 3546414144000 in words is "three trillion, five hundred forty-six billion, four hundred fourteen million, one hundred forty-four thousand".