3546240000 has 220 divisors, whose sum is σ = 11817642144. Its totient is φ = 945152000.

The previous prime is 3546239909. The next prime is 3546240007. The reversal of 3546240000 is 426453.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3546240007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1919077 + ... + 1920923.

Almost surely, 2^3546240000 is an apocalyptic number.

3546240000 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 3546240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908821072).

3546240000 is an abundant number, since it is smaller than the sum of its proper divisors (8271402144).

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

3546240000 is an equidigital number, since it uses as much as digits as its factorization.

3546240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3546240000 is about 59550.3148606286. The cubic root of 3546240000 is about 1524.9515347851.

Adding to 3546240000 its reverse (426453), we get a palindrome (3546666453).

The spelling of 3546240000 in words is "three billion, five hundred forty-six million, two hundred forty thousand".