34170793920 has 224 divisors, whose sum is σ = 121249074240. Its totient is φ = 9059143680.

The previous prime is 34170793913. The next prime is 34170793963. The reversal of 34170793920 is 2939707143.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1483290 + ... + 1506150.

It is an arithmetic number, because the mean of its divisors is an integer number (541290510).

Almost surely, 2^34170793920 is an apocalyptic number.

34170793920 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 34170793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60624537120).

34170793920 is an abundant number, since it is smaller than the sum of its proper divisors (87078280320).

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

34170793920 is a wasteful number, since it uses less digits than its factorization.

34170793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23060 (or 23044 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 34170793920 in words is "thirty-four billion, one hundred seventy million, seven hundred ninety-three thousand, nine hundred twenty".