34949376 has 216 divisors, whose sum is σ = 126270144. Its totient is φ = 9031680.

The previous prime is 34949357. The next prime is 34949429. The reversal of 34949376 is 67394943.

34949376 is a `hidden beast` number, since 3 + 494 + 93 + 76 = 666.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177310 + ... + 177506.

It is an arithmetic number, because the mean of its divisors is an integer number (584584).

Almost surely, 2^34949376 is an apocalyptic number.

34949376 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 34949376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63135072).

34949376 is an abundant number, since it is smaller than the sum of its proper divisors (91320768).

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

34949376 is a wasteful number, since it uses less digits than its factorization.

34949376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 34949376 is about 5911.7997259718. The cubic root of 34949376 is about 326.9488459106.

It can be divided in two parts, 3494937 and 6, that added together give a palindrome (3494943).

The spelling of 34949376 in words is "thirty-four million, nine hundred forty-nine thousand, three hundred seventy-six".