34675920 has 120 divisors (see below), whose sum is σ = 123347016. Its totient is φ = 8699904.

The previous prime is 34675853. The next prime is 34675943. The reversal of 34675920 is 2957643.

34675920 is a `hidden beast` number, since 3 + 4 + 67 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5645376 + 29030544 = 2376^2 + 5388^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10824 + ... + 13656.

Almost surely, 2^34675920 is an apocalyptic number.

34675920 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 34675920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61673508).

34675920 is an abundant number, since it is smaller than the sum of its proper divisors (88671096).

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

34675920 is a wasteful number, since it uses less digits than its factorization.

34675920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 34675920 is about 5888.6263253835. The cubic root of 34675920 is about 326.0938919337.

The spelling of 34675920 in words is "thirty-four million, six hundred seventy-five thousand, nine hundred twenty".