3442132800 has 672 divisors, whose sum is σ = 13719657600. Its totient is φ = 836075520.

The previous prime is 3442132769. The next prime is 3442132807. The reversal of 3442132800 is 82312443.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442132807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31579146 + ... + 31579254.

Almost surely, 2^3442132800 is an apocalyptic number.

3442132800 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 3442132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6859828800).

3442132800 is an abundant number, since it is smaller than the sum of its proper divisors (10277524800).

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

3442132800 is a wasteful number, since it uses less digits than its factorization.

3442132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3442132800 is about 58669.6923462191. The cubic root of 3442132800 is about 1509.8803758867.

The spelling of 3442132800 in words is "three billion, four hundred forty-two million, one hundred thirty-two thousand, eight hundred".