34977648 has 20 divisors (see below), whose sum is σ = 90359048. Its totient is φ = 11659200.

The previous prime is 34977643. The next prime is 34977661. The reversal of 34977648 is 84677943.

It is a happy number.

34977648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34977648² = 2446871719223808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 728701 = 34977648 / (3 + 4 + 9 + 7 + 7 + 6 + 4 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 34977597 and 34977606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34977643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 364303 + ... + 364398.

Almost surely, 2^34977648 is an apocalyptic number.

It is an amenable number.

34977648 is an abundant number, since it is smaller than the sum of its proper divisors (55381400).

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

34977648 is a wasteful number, since it uses less digits than its factorization.

34977648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728712 (or 728706 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 34977648 is about 5914.1903926066. The cubic root of 34977648 is about 327.0369829769.

The spelling of 34977648 in words is "thirty-four million, nine hundred seventy-seven thousand, six hundred forty-eight".