3542579600 has 120 divisors (see below), whose sum is σ = 10150005120. Its totient is φ = 1161768960.

The previous prime is 3542579569. The next prime is 3542579609. The reversal of 3542579600 is 69752453.

3542579600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3542579600³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3542579609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36896 + ... + 91904.

It is an arithmetic number, because the mean of its divisors is an integer number (84583376).

Almost surely, 2^3542579600 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 3542579600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075002560).

3542579600 is an abundant number, since it is smaller than the sum of its proper divisors (6607425520).

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

3542579600 is a wasteful number, since it uses less digits than its factorization.

3542579600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55057 (or 55046 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 41.

The square root of 3542579600 is about 59519.5732511583. The cubic root of 3542579600 is about 1524.4266733129.

The spelling of 3542579600 in words is "three billion, five hundred forty-two million, five hundred seventy-nine thousand, six hundred".