34185203712 has 1040 divisors, whose sum is σ = 128447985600. Its totient is φ = 8918138880.

The previous prime is 34185203699. The next prime is 34185203719. The reversal of 34185203712 is 21730258143.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34185203719) 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, 1178800114 + ... + 1178800142.

Almost surely, 2^34185203712 is an apocalyptic number.

34185203712 is a gapful number since it is divisible by the number (32) 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 34185203712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64223992800).

34185203712 is an abundant number, since it is smaller than the sum of its proper divisors (94262781888).

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

34185203712 is a wasteful number, since it uses less digits than its factorization.

34185203712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 34185203712 in words is "thirty-four billion, one hundred eighty-five million, two hundred three thousand, seven hundred twelve".