34865152 has 76 divisors (see below), whose sum is σ = 83885920. Its totient is φ = 14155776.

The previous prime is 34865141. The next prime is 34865161. The reversal of 34865152 is 25156843.

It is a tau number, because it is divible by the number of its divisors (76).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1834999 + ... + 1835017.

Almost surely, 2^34865152 is an apocalyptic number.

34865152 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 34865152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41942960).

34865152 is an abundant number, since it is smaller than the sum of its proper divisors (49020768).

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

34865152 is an frugal number, since it uses more digits than its factorization.

34865152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 28 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 34865152 is about 5904.6720484714. The cubic root of 34865152 is about 326.6859982081.

The spelling of 34865152 in words is "thirty-four million, eight hundred sixty-five thousand, one hundred fifty-two".