34230706997760 has 800 divisors, whose sum is σ = 150896792737152. Its totient is φ = 7222299033600.

The previous prime is 34230706997723. The next prime is 34230706997761. The reversal of 34230706997760 is 6779960703243.

34230706997760 is a `hidden beast` number, since 3 + 423 + 0 + 7 + 0 + 69 + 97 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (34230706997761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17962735 + ... + 19776785.

Almost surely, 2^{34230706997760} is an apocalyptic number.

34230706997760 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 34230706997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75448396368576).

34230706997760 is an abundant number, since it is smaller than the sum of its proper divisors (116666085739392).

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

34230706997760 is a wasteful number, since it uses less digits than its factorization.

34230706997760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814106 (or 1814081 counting only the distinct ones).

The product of its (nonzero) digits is 72013536, while the sum is 63.

The spelling of 34230706997760 in words is "thirty-four trillion, two hundred thirty billion, seven hundred six million, nine hundred ninety-seven thousand, seven hundred sixty".