34189300992 has 288 divisors, whose sum is σ = 115869487104. Its totient is φ = 8690688000.

The previous prime is 34189300979. The next prime is 34189300993. The reversal of 34189300992 is 29900398143.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34189300993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2773242 + ... + 2785542.

It is an arithmetic number, because the mean of its divisors is an integer number (402324608).

Almost surely, 2^34189300992 is an apocalyptic number.

34189300992 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 34189300992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57934743552).

34189300992 is an abundant number, since it is smaller than the sum of its proper divisors (81680186112).

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

34189300992 is a wasteful number, since it uses less digits than its factorization.

34189300992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12385 (or 12371 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 34189300992 in words is "thirty-four billion, one hundred eighty-nine million, three hundred thousand, nine hundred ninety-two".