34405152 has 48 divisors (see below), whose sum is σ = 90629280. Its totient is φ = 11428352.

The previous prime is 34405139. The next prime is 34405157. The reversal of 34405152 is 25150443.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34405157) 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, 42124 + ... + 42932.

It is an arithmetic number, because the mean of its divisors is an integer number (1888110).

Almost surely, 2^34405152 is an apocalyptic number.

34405152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34405152 is an abundant number, since it is smaller than the sum of its proper divisors (56224128).

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

34405152 is a wasteful number, since it uses less digits than its factorization.

34405152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 34405152 is about 5865.5905073573. The cubic root of 34405152 is about 325.2429016473.

Adding to 34405152 its reverse (25150443), we get a palindrome (59555595).

The spelling of 34405152 in words is "thirty-four million, four hundred five thousand, one hundred fifty-two".