34961688 has 48 divisors (see below), whose sum is σ = 94961880. Its totient is φ = 11620224.

The previous prime is 34961681. The next prime is 34961701. The reversal of 34961688 is 88616943.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34961681) 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, 44031 + ... + 44817.

Almost surely, 2^34961688 is an apocalyptic number.

It is an amenable number.

34961688 is an abundant number, since it is smaller than the sum of its proper divisors (60000192).

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

34961688 is a wasteful number, since it uses less digits than its factorization.

34961688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1409 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 34961688 is about 5912.8409415441. The cubic root of 34961688 is about 326.9872340217.

It can be divided in two parts, 3496 and 1688, that added together give a square (5184 = 72²).

The spelling of 34961688 in words is "thirty-four million, nine hundred sixty-one thousand, six hundred eighty-eight".