3546402720 has 192 divisors, whose sum is σ = 12791955456. Its totient is φ = 809026560.

The previous prime is 3546402659. The next prime is 3546402733. The reversal of 3546402720 is 272046453.

3546402720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3262017 + ... + 3263103.

It is an arithmetic number, because the mean of its divisors is an integer number (66624768).

Almost surely, 2^3546402720 is an apocalyptic number.

3546402720 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 3546402720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6395977728).

3546402720 is an abundant number, since it is smaller than the sum of its proper divisors (9245552736).

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

3546402720 is a wasteful number, since it uses less digits than its factorization.

3546402720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 3546402720 is about 59551.6810845840. The cubic root of 3546402720 is about 1524.9748586736.

The spelling of 3546402720 in words is "three billion, five hundred forty-six million, four hundred two thousand, seven hundred twenty".