34424442000 has 480 divisors, whose sum is σ = 130586391936. Its totient is φ = 8401536000.

The previous prime is 34424441993. The next prime is 34424442023. The reversal of 34424442000 is 24442443.

It is a happy number.

34424442000 is a `hidden beast` number, since 34 + 424 + 4 + 4 + 200 + 0 = 666.

It is a super-2 number, since 2×34424442000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30653439 + ... + 30654561.

Almost surely, 2^34424442000 is an apocalyptic number.

34424442000 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 34424442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65293195968).

34424442000 is an abundant number, since it is smaller than the sum of its proper divisors (96161949936).

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

34424442000 is a wasteful number, since it uses less digits than its factorization.

34424442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 34424442000 its reverse (24442443), we get a palindrome (34448884443).

The spelling of 34424442000 in words is "thirty-four billion, four hundred twenty-four million, four hundred forty-two thousand".