34475940 has 36 divisors (see below), whose sum is σ = 104577564. Its totient is φ = 9193536.

The previous prime is 34475939. The next prime is 34475941. The reversal of 34475940 is 4957443.

It is an interprime number because it is at equal distance from previous prime (34475939) and next prime (34475941).

It can be written as a sum of positive squares in 2 ways, for example, as 14333796 + 20142144 = 3786^2 + 4488^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×34475940³ (a number of 24 digits) contains 333 as substring.

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 = 34475895 and 34475904.

It is not an unprimeable number, because it can be changed into a prime (34475941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95587 + ... + 95946.

Almost surely, 2^34475940 is an apocalyptic number.

34475940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34475940 is an abundant number, since it is smaller than the sum of its proper divisors (70101624).

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

34475940 is a wasteful number, since it uses less digits than its factorization.

34475940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191548 (or 191543 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 34475940 is about 5871.6215818120. The cubic root of 34475940 is about 325.4658093728.

The spelling of 34475940 in words is "thirty-four million, four hundred seventy-five thousand, nine hundred forty".