34769376 has 144 divisors (see below), whose sum is σ = 107321760. Its totient is φ = 10644480.

The previous prime is 34769341. The next prime is 34769387. The reversal of 34769376 is 67396743.

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

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, 192006 + ... + 192186.

It is an arithmetic number, because the mean of its divisors is an integer number (745290).

Almost surely, 2^34769376 is an apocalyptic number.

34769376 is a gapful number since it is divisible by the number (36) 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 34769376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53660880).

34769376 is an abundant number, since it is smaller than the sum of its proper divisors (72552384).

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

34769376 is a wasteful number, since it uses less digits than its factorization.

34769376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 34769376 is about 5896.5562831198. The cubic root of 34769376 is about 326.3865839353.

The spelling of 34769376 in words is "thirty-four million, seven hundred sixty-nine thousand, three hundred seventy-six".