3434223150000 has 480 divisors, whose sum is σ = 12856892106240. Its totient is φ = 875967840000.

The previous prime is 3434223149957. The next prime is 3434223150049. The reversal of 3434223150000 is 513224343.

3434223150000 is a `hidden beast` number, since 3 + 4 + 342 + 2 + 315 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30994699 + ... + 31105301.

It is an arithmetic number, because the mean of its divisors is an integer number (26785191888).

Almost surely, 2^{3434223150000} is an apocalyptic number.

3434223150000 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 3434223150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428446053120).

3434223150000 is an abundant number, since it is smaller than the sum of its proper divisors (9422668956240).

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

3434223150000 is a wasteful number, since it uses less digits than its factorization.

3434223150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110668 (or 110636 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 3434223150000 its reverse (513224343), we get a palindrome (3434736374343).

The spelling of 3434223150000 in words is "three trillion, four hundred thirty-four billion, two hundred twenty-three million, one hundred fifty thousand".