3442080000 has 360 divisors, whose sum is σ = 11723697216. Its totient is φ = 896000000.

The previous prime is 3442079999. The next prime is 3442080023. The reversal of 3442080000 is 802443.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34079950 + ... + 34080050.

Almost surely, 2^3442080000 is an apocalyptic number.

3442080000 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 3442080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5861848608).

3442080000 is an abundant number, since it is smaller than the sum of its proper divisors (8281617216).

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

3442080000 is an equidigital number, since it uses as much as digits as its factorization.

3442080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3442080000 is about 58669.2423677006. The cubic root of 3442080000 is about 1509.8726556644.

Adding to 3442080000 its reverse (802443), we get a palindrome (3442882443).

The spelling of 3442080000 in words is "three billion, four hundred forty-two million, eighty thousand".