3542932224 has 324 divisors, whose sum is σ = 11505091416. Its totient is φ = 1086898176.

The previous prime is 3542932207. The next prime is 3542932229. The reversal of 3542932224 is 4222392453.

3542932224 is a `hidden beast` number, since 3 + 5 + 429 + 3 + 2 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3542932229) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10512984 + ... + 10513320.

Almost surely, 2^3542932224 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 3542932224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5752545708).

3542932224 is an abundant number, since it is smaller than the sum of its proper divisors (7962159192).

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

3542932224 is an equidigital number, since it uses as much as digits as its factorization.

3542932224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 355 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 3542932224 is about 59522.5354298689. The cubic root of 3542932224 is about 1524.4772514845.

The spelling of 3542932224 in words is "three billion, five hundred forty-two million, nine hundred thirty-two thousand, two hundred twenty-four".