34233066720 has 384 divisors, whose sum is σ = 121714306560. Its totient is φ = 8985600000.

The previous prime is 34233066697. The next prime is 34233066773. The reversal of 34233066720 is 2766033243.

34233066720 is a `hidden beast` number, since 342 + 3 + 306 + 6 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136386595 + ... + 136386845.

It is an arithmetic number, because the mean of its divisors is an integer number (316964340).

Almost surely, 2^34233066720 is an apocalyptic number.

34233066720 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 34233066720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60857153280).

34233066720 is an abundant number, since it is smaller than the sum of its proper divisors (87481239840).

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

34233066720 is a wasteful number, since it uses less digits than its factorization.

34233066720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

Adding to 34233066720 its reverse (2766033243), we get a palindrome (36999099963).

The spelling of 34233066720 in words is "thirty-four billion, two hundred thirty-three million, sixty-six thousand, seven hundred twenty".