3352890588100 has 81 divisors (see below), whose sum is σ = 7382554129741. Its totient is φ = 1321754005600.

The previous prime is 3352890588079. The next prime is 3352890588107. The reversal of 3352890588100 is 18850982533.

The square root of 3352890588100 is 1831090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1207040611716 + 2145849976384 = 1098654^2 + 1464872^2 .

It is a super-3 number, since 3×3352890588100³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3352890588107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1300072611 + ... + 1300075189.

Almost surely, 2^{3352890588100} is an apocalyptic number.

3352890588100 is the 1831090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3352890588100

3352890588100 is an abundant number, since it is smaller than the sum of its proper divisors (4029663541641).

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

3352890588100 is an frugal number, since it uses more digits than its factorization.

3352890588100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5314 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The spelling of 3352890588100 in words is "three trillion, three hundred fifty-two billion, eight hundred ninety million, five hundred eighty-eight thousand, one hundred".