34977072 has 40 divisors (see below), whose sum is σ = 97309744. Its totient is φ = 10761984.

The previous prime is 34977037. The next prime is 34977073. The reversal of 34977072 is 27077943.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 34977072.

It is not an unprimeable number, because it can be changed into a prime (34977073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27403 + ... + 28650.

Almost surely, 2^34977072 is an apocalyptic number.

It is an amenable number.

34977072 is an abundant number, since it is smaller than the sum of its proper divisors (62332672).

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

34977072 is a wasteful number, since it uses less digits than its factorization.

34977072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56077 (or 56071 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The square root of 34977072 is about 5914.1416959691. The cubic root of 34977072 is about 327.0351877891.

It can be divided in two parts, 349 and 77072, that added together give a triangular number (77421 = T₃₉₃).

The spelling of 34977072 in words is "thirty-four million, nine hundred seventy-seven thousand, seventy-two".