3542822100 has 324 divisors, whose sum is σ = 12065766804. Its totient is φ = 869007360.

The previous prime is 3542822077. The next prime is 3542822119. The reversal of 3542822100 is 12282453.

3542822100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 18 ways, for example, as 122677776 + 3420144324 = 11076^2 + 58482^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13785172 + ... + 13785428.

It is an arithmetic number, because the mean of its divisors is an integer number (37240021).

Almost surely, 2^3542822100 is an apocalyptic number.

3542822100 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 3542822100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032883402).

3542822100 is an abundant number, since it is smaller than the sum of its proper divisors (8522944704).

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

3542822100 is a wasteful number, since it uses less digits than its factorization.

3542822100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 3542822100 is about 59521.6103612797. The cubic root of 3542822100 is about 1524.4614563501.

The spelling of 3542822100 in words is "three billion, five hundred forty-two million, eight hundred twenty-two thousand, one hundred".