3531742800 has 240 divisors, whose sum is σ = 11985899520. Its totient is φ = 886464000.

The previous prime is 3531742783. The next prime is 3531742807. The reversal of 3531742800 is 82471353.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3531742807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4354395 + ... + 4355205.

It is an arithmetic number, because the mean of its divisors is an integer number (49941248).

Almost surely, 2^3531742800 is an apocalyptic number.

3531742800 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 3531742800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5992949760).

3531742800 is an abundant number, since it is smaller than the sum of its proper divisors (8454156720).

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

3531742800 is a wasteful number, since it uses less digits than its factorization.

3531742800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3531742800 is about 59428.4679257340. The cubic root of 3531742800 is about 1522.8706715288.

The spelling of 3531742800 in words is "three billion, five hundred thirty-one million, seven hundred forty-two thousand, eight hundred".