3546240880 has 240 divisors, whose sum is σ = 10491453504. Its totient is φ = 1084907520.

The previous prime is 3546240853. The next prime is 3546240881. The reversal of 3546240880 is 880426453.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3546240881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32534266 + ... + 32534374.

Almost surely, 2^3546240880 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 3546240880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5245726752).

3546240880 is an abundant number, since it is smaller than the sum of its proper divisors (6945212624).

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

3546240880 is a wasteful number, since it uses less digits than its factorization.

3546240880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 3546240880 is about 59550.3222493380. The cubic root of 3546240880 is about 1524.9516609241.

The spelling of 3546240880 in words is "three billion, five hundred forty-six million, two hundred forty thousand, eight hundred eighty".