34880352 has 96 divisors (see below), whose sum is σ = 103864320. Its totient is φ = 10160640.

The previous prime is 34880347. The next prime is 34880357. The reversal of 34880352 is 25308843.

It is an interprime number because it is at equal distance from previous prime (34880347) and next prime (34880357).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34880357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22977 + ... + 24447.

It is an arithmetic number, because the mean of its divisors is an integer number (1081920).

Almost surely, 2^34880352 is an apocalyptic number.

34880352 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 34880352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51932160).

34880352 is an abundant number, since it is smaller than the sum of its proper divisors (68983968).

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

34880352 is a wasteful number, since it uses less digits than its factorization.

34880352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 34880352 is about 5905.9590245785. The cubic root of 34880352 is about 326.7334659082.

The spelling of 34880352 in words is "thirty-four million, eight hundred eighty thousand, three hundred fifty-two".