34768992 has 24 divisors (see below), whose sum is σ = 91268856. Its totient is φ = 11589632.

The previous prime is 34768991. The next prime is 34769023. The reversal of 34768992 is 29986743.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34768991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 180993 + ... + 181184.

It is an arithmetic number, because the mean of its divisors is an integer number (3802869).

Almost surely, 2^34768992 is an apocalyptic number.

34768992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34768992 is an abundant number, since it is smaller than the sum of its proper divisors (56499864).

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

34768992 is a wasteful number, since it uses less digits than its factorization.

34768992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362190 (or 362182 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 34768992 is about 5896.5237216516. The cubic root of 34768992 is about 326.3853823711.

The spelling of 34768992 in words is "thirty-four million, seven hundred sixty-eight thousand, nine hundred ninety-two".