34072416 has 72 divisors (see below), whose sum is σ = 110741904. Its totient is φ = 9734400.

The previous prime is 34072399. The next prime is 34072421. The reversal of 34072416 is 61427043.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 34072416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6435 + ... + 10466.

It is an arithmetic number, because the mean of its divisors is an integer number (1538082).

Almost surely, 2^34072416 is an apocalyptic number.

34072416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34072416 is an abundant number, since it is smaller than the sum of its proper divisors (76669488).

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

34072416 is a wasteful number, since it uses less digits than its factorization.

34072416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16924 (or 16913 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 34072416 is about 5837.1582126922. The cubic root of 34072416 is about 324.1910167634.

Adding to 34072416 its reverse (61427043), we get a palindrome (95499459).

The spelling of 34072416 in words is "thirty-four million, seventy-two thousand, four hundred sixteen".