3434324000 has 192 divisors, whose sum is σ = 8863126272. Its totient is φ = 1306368000.

The previous prime is 3434323993. The next prime is 3434324027. The reversal of 3434324000 is 4234343.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7051757 + ... + 7052243.

It is an arithmetic number, because the mean of its divisors is an integer number (46162116).

Almost surely, 2^3434324000 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 3434324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431563136).

3434324000 is an abundant number, since it is smaller than the sum of its proper divisors (5428802272).

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

3434324000 is a wasteful number, since it uses less digits than its factorization.

3434324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 3434324000 is about 58603.1057197483. The cubic root of 3434324000 is about 1508.7377431394.

Adding to 3434324000 its reverse (4234343), we get a palindrome (3438558343).

The spelling of 3434324000 in words is "three billion, four hundred thirty-four million, three hundred twenty-four thousand".