34252416 has 256 divisors, whose sum is σ = 118972800. Its totient is φ = 9584640.

The previous prime is 34252409. The next prime is 34252423. The reversal of 34252416 is 61425243.

It is an interprime number because it is at equal distance from previous prime (34252409) and next prime (34252423).

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

It is a self number, because there is not a number n which added to its sum of digits gives 34252416.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646246 + ... + 646298.

Almost surely, 2^34252416 is an apocalyptic number.

34252416 is a gapful number since it is divisible by the number (36) 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 34252416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59486400).

34252416 is an abundant number, since it is smaller than the sum of its proper divisors (84720384).

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

34252416 is a wasteful number, since it uses less digits than its factorization.

34252416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 86 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 34252416 is about 5852.5563645299. The cubic root of 34252416 is about 324.7609002736.

Adding to 34252416 its reverse (61425243), we get a palindrome (95677659).

The spelling of 34252416 in words is "thirty-four million, two hundred fifty-two thousand, four hundred sixteen".