3542980608 has 192 divisors, whose sum is σ = 11115468000. Its totient is φ = 1111228416.

The previous prime is 3542980603. The next prime is 3542980631. The reversal of 3542980608 is 8060892453.

3542980608 is a `hidden beast` number, since 35 + 4 + 2 + 9 + 8 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542980603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 938148 + ... + 941916.

Almost surely, 2^3542980608 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 3542980608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557734000).

3542980608 is an abundant number, since it is smaller than the sum of its proper divisors (7572487392).

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

3542980608 is a wasteful number, since it uses less digits than its factorization.

3542980608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3817 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3542980608 is about 59522.9418627809. The cubic root of 3542980608 is about 1524.4841911197.

The spelling of 3542980608 in words is "three billion, five hundred forty-two million, nine hundred eighty thousand, six hundred eight".