3442577700 has 144 divisors (see below), whose sum is σ = 10657720640. Its totient is φ = 855360000.

The previous prime is 3442577659. The next prime is 3442577701. The reversal of 3442577700 is 77752443.

It is not an unprimeable number, because it can be changed into a prime (3442577701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342750 + ... + 352650.

Almost surely, 2^3442577700 is an apocalyptic number.

3442577700 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 3442577700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328860320).

3442577700 is an abundant number, since it is smaller than the sum of its proper divisors (7215142940).

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

3442577700 is a wasteful number, since it uses less digits than its factorization.

3442577700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9998 (or 9991 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 39.

The square root of 3442577700 is about 58673.4837895280. The cubic root of 3442577700 is about 1509.9454243977.

The spelling of 3442577700 in words is "three billion, four hundred forty-two million, five hundred seventy-seven thousand, seven hundred".