34381152 has 96 divisors (see below), whose sum is σ = 108027360. Its totient is φ = 10575360.

The previous prime is 34381147. The next prime is 34381169. The reversal of 34381152 is 25118343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×34381152² = 2364127225694208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9702 + ... + 12762.

It is an arithmetic number, because the mean of its divisors is an integer number (1125285).

Almost surely, 2^34381152 is an apocalyptic number.

34381152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34381152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54013680).

34381152 is an abundant number, since it is smaller than the sum of its proper divisors (73646208).

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

34381152 is a wasteful number, since it uses less digits than its factorization.

34381152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3079 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 34381152 is about 5863.5443206307. The cubic root of 34381152 is about 325.1672574978.

Adding to 34381152 its reverse (25118343), we get a palindrome (59499495).

The spelling of 34381152 in words is "thirty-four million, three hundred eighty-one thousand, one hundred fifty-two".