34093920 has 192 divisors, whose sum is σ = 125314560. Its totient is φ = 7630848.

The previous prime is 34093907. The next prime is 34093967. The reversal of 34093920 is 2939043.

It is a Cunningham number, because it is equal to 5839²-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 245211 + ... + 245349.

It is an arithmetic number, because the mean of its divisors is an integer number (652680).

Almost surely, 2^34093920 is an apocalyptic number.

34093920 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 34093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62657280).

34093920 is an abundant number, since it is smaller than the sum of its proper divisors (91220640).

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

34093920 is a wasteful number, since it uses less digits than its factorization.

34093920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 34093920 is about 5838.9999143689. Note that the first 4 decimals coincide. The cubic root of 34093920 is about 324.2592042529.

The spelling of 34093920 in words is "thirty-four million, ninety-three thousand, nine hundred twenty".