3442120400 has 60 divisors (see below), whose sum is σ = 8351670444. Its totient is φ = 1363200000.

The previous prime is 3442120393. The next prime is 3442120411. The reversal of 3442120400 is 40212443.

It can be written as a sum of positive squares in 6 ways, for example, as 152868496 + 3289251904 = 12364^2 + 57352^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2201 + ... + 83000.

Almost surely, 2^3442120400 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 3442120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4175835222).

3442120400 is an abundant number, since it is smaller than the sum of its proper divisors (4909550044).

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

3442120400 is a wasteful number, since it uses less digits than its factorization.

3442120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85320 (or 85309 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3442120400 is about 58669.5866697559. The cubic root of 3442120400 is about 1509.8785628113.

Adding to 3442120400 its reverse (40212443), we get a palindrome (3482332843).

The spelling of 3442120400 in words is "three billion, four hundred forty-two million, one hundred twenty thousand, four hundred".