34881120 has 72 divisors (see below), whose sum is σ = 119036736. Its totient is φ = 9301248.

The previous prime is 34881109. The next prime is 34881137. The reversal of 34881120 is 2118843.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10672 + ... + 13551.

It is an arithmetic number, because the mean of its divisors is an integer number (1653288).

Almost surely, 2^34881120 is an apocalyptic number.

34881120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34881120 is an abundant number, since it is smaller than the sum of its proper divisors (84155616).

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

34881120 is a wasteful number, since it uses less digits than its factorization.

34881120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24244 (or 24233 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 34881120 is about 5906.0240432968. The cubic root of 34881120 is about 326.7358639101.

Adding to 34881120 its reverse (2118843), we get a palindrome (36999963).

The spelling of 34881120 in words is "thirty-four million, eight hundred eighty-one thousand, one hundred twenty".