34967400728976 has 135 divisors (see below), whose sum is σ = 101624413489963. Its totient is φ = 11655161604000.

The previous prime is 34967400728921. The next prime is 34967400728977. The reversal of 34967400728976 is 67982700476943.

It is a happy number.

The square root of 34967400728976 is 5913324.

It is a perfect power (a square), and thus also a powerful number.

34967400728976 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 7 + 400 + 72 + 89 + 76 = 666.

It is a super-2 number, since 2×34967400728976² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34967400728977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1915907851 + ... + 1915926101.

Almost surely, 2^{34967400728976} is an apocalyptic number.

34967400728976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34967400728976 is the 5913324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34967400728976

34967400728976 is an abundant number, since it is smaller than the sum of its proper divisors (66657012760987).

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

34967400728976 is an frugal number, since it uses more digits than its factorization.

34967400728976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36534 (or 18256 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 34967400728976 in words is "thirty-four trillion, nine hundred sixty-seven billion, four hundred million, seven hundred twenty-eight thousand, nine hundred seventy-six".