34575840 has 144 divisors (see below), whose sum is σ = 127135008. Its totient is φ = 8506368.

The previous prime is 34575823. The next prime is 34575857. The reversal of 34575840 is 4857543.

34575840 is a `hidden beast` number, since 3 + 4 + 575 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34575823) and next prime (34575857).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 34575795 and 34575804.

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, 17797 + ... + 19643.

It is an arithmetic number, because the mean of its divisors is an integer number (882882).

Almost surely, 2^34575840 is an apocalyptic number.

34575840 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 34575840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63567504).

34575840 is an abundant number, since it is smaller than the sum of its proper divisors (92559168).

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

34575840 is a wasteful number, since it uses less digits than its factorization.

34575840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 34575840 is about 5880.1224477046. The cubic root of 34575840 is about 325.7798707134.

The spelling of 34575840 in words is "thirty-four million, five hundred seventy-five thousand, eight hundred forty".