3546845280 has 384 divisors, whose sum is σ = 13695091200. Its totient is φ = 850176000.

The previous prime is 3546845279. The next prime is 3546845287. The reversal of 3546845280 is 825486453.

3546845280 is a `hidden beast` number, since 3 + 5 + 46 + 84 + 528 + 0 = 666.

It is a super-2 number, since 2×3546845280² = 25160222880516556800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3546845287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4799151 + ... + 4799889.

It is an arithmetic number, because the mean of its divisors is an integer number (35664300).

Almost surely, 2^3546845280 is an apocalyptic number.

3546845280 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 3546845280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6847545600).

3546845280 is an abundant number, since it is smaller than the sum of its proper divisors (10148245920).

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

3546845280 is a wasteful number, since it uses less digits than its factorization.

3546845280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 3546845280 is about 59555.3967327899. The cubic root of 3546845280 is about 1525.0382905373.

The spelling of 3546845280 in words is "three billion, five hundred forty-six million, eight hundred forty-five thousand, two hundred eighty".