34038977 has 10 divisors (see below), whose sum is σ = 39712578. Its totient is φ = 29174208.

The previous prime is 34038971. The next prime is 34039003. The reversal of 34038977 is 77983043.

It can be written as a sum of positive squares in only one way, i.e., 34000561 + 38416 = 5831^2 + 196^2 .

It is not a de Polignac number, because 34038977 - 2¹⁶ = 33973441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34038971) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4688 + ... + 9489.

Almost surely, 2^34038977 is an apocalyptic number.

It is an amenable number.

34038977 is a deficient number, since it is larger than the sum of its proper divisors (5673601).

34038977 is an frugal number, since it uses more digits than its factorization.

34038977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14205 (or 14184 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 34038977 is about 5834.2931876963. The cubic root of 34038977 is about 324.0849273126.

The spelling of 34038977 in words is "thirty-four million, thirty-eight thousand, nine hundred seventy-seven".