3438020556100 has 243 divisors, whose sum is σ = 8591936569797. Its totient is φ = 1193327016960.

The previous prime is 3438020556077. The next prime is 3438020556109. The reversal of 3438020556100 is 16550208343.

The square root of 3438020556100 is 1854190.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2503844181316 + 934176374784 = 1582354^2 + 966528^2 .

It is a super-3 number, since 3×3438020556100³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3438020556100.

It is not an unprimeable number, because it can be changed into a prime (3438020556109) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4097759481 + ... + 4097760319.

Almost surely, 2^{3438020556100} is an apocalyptic number.

3438020556100 is the 1854190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3438020556100

3438020556100 is an abundant number, since it is smaller than the sum of its proper divisors (5153916013697).

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

3438020556100 is a wasteful number, since it uses less digits than its factorization.

3438020556100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 3438020556100 in words is "three trillion, four hundred thirty-eight billion, twenty million, five hundred fifty-six thousand, one hundred".