34893960192 has 1056 divisors, whose sum is σ = 136193820672. Its totient is φ = 8671297536.

The previous prime is 34893960191. The next prime is 34893960223. The reversal of 34893960192 is 29106939843.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34893960191) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 520805343 + ... + 520805409.

Almost surely, 2^34893960192 is an apocalyptic number.

34893960192 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 34893960192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68096910336).

34893960192 is an abundant number, since it is smaller than the sum of its proper divisors (101299860480).

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

34893960192 is a wasteful number, since it uses less digits than its factorization.

34893960192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 34893960192 in words is "thirty-four billion, eight hundred ninety-three million, nine hundred sixty thousand, one hundred ninety-two".