34203892992 has 72 divisors (see below), whose sum is σ = 91423410624. Its totient is φ = 11352305664.

The previous prime is 34203892991. The next prime is 34203893011. The reversal of 34203892992 is 29929830243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34203892991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83373 + ... + 274515.

It is an arithmetic number, because the mean of its divisors is an integer number (1269769592).

Almost surely, 2^34203892992 is an apocalyptic number.

34203892992 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 34203892992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45711705312).

34203892992 is an abundant number, since it is smaller than the sum of its proper divisors (57219517632).

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

34203892992 is a wasteful number, since it uses less digits than its factorization.

34203892992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191395 (or 191381 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 34203892992 in words is "thirty-four billion, two hundred three million, eight hundred ninety-two thousand, nine hundred ninety-two".