34457976 has 72 divisors (see below), whose sum is σ = 108571320. Its totient is φ = 9844128.

The previous prime is 34457953. The next prime is 34457977. The reversal of 34457976 is 67975443.

34457976 is a `hidden beast` number, since 3 + 4 + 4 + 579 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×34457976² = 2374704220033152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34457977) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1356 + ... + 8411.

It is an arithmetic number, because the mean of its divisors is an integer number (1507935).

Almost surely, 2^34457976 is an apocalyptic number.

34457976 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 34457976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54285660).

34457976 is an abundant number, since it is smaller than the sum of its proper divisors (74113344).

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

34457976 is a wasteful number, since it uses less digits than its factorization.

34457976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9793 (or 9779 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 34457976 is about 5870.0916517547. The cubic root of 34457976 is about 325.4092705849.

The spelling of 34457976 in words is "thirty-four million, four hundred fifty-seven thousand, nine hundred seventy-six".