3546744981920 has 384 divisors, whose sum is σ = 10571210850816. Its totient is φ = 1096774189056.

The previous prime is 3546744981853. The next prime is 3546744981943. The reversal of 3546744981920 is 291894476453.

It is a super-2 number, since 2×3546744981920² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43351292 + ... + 43433028.

It is an arithmetic number, because the mean of its divisors is an integer number (27529194924).

It is a 1-persistent number, because it is pandigital, but 2⋅3546744981920 = 7093489963840 is not.

Almost surely, 2^{3546744981920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3546744981920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285605425408).

3546744981920 is an abundant number, since it is smaller than the sum of its proper divisors (7024465868896).

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

3546744981920 is a wasteful number, since it uses less digits than its factorization.

3546744981920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81872 (or 81864 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 62.

The spelling of 3546744981920 in words is "three trillion, five hundred forty-six billion, seven hundred forty-four million, nine hundred eighty-one thousand, nine hundred twenty".