3442397836900 has 243 divisors, whose sum is σ = 8342885952331. Its totient is φ = 1231965680000.

The previous prime is 3442397836883. The next prime is 3442397836939. The reversal of 3442397836900 is 96387932443.

The square root of 3442397836900 is 1855370.

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

It can be written as a sum of positive squares in 4 ways, for example, as 635620318564 + 2806777518336 = 797258^2 + 1675344^2 .

It is a super-2 number, since 2×3442397836900² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20613160617 + ... + 20613160783.

Almost surely, 2^{3442397836900} is an apocalyptic number.

3442397836900 is the 1855370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3442397836900

3442397836900 is an abundant number, since it is smaller than the sum of its proper divisors (4900488115431).

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

3442397836900 is a wasteful number, since it uses less digits than its factorization.

3442397836900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 58.

The spelling of 3442397836900 in words is "three trillion, four hundred forty-two billion, three hundred ninety-seven million, eight hundred thirty-six thousand, nine hundred".