34421616 has 120 divisors (see below), whose sum is σ = 106005120. Its totient is φ = 10378368.

The previous prime is 34421609. The next prime is 34421623. The reversal of 34421616 is 61612443.

34421616 = 103³ + 104³ + ... + 125³.

34421616 is a `hidden beast` number, since 3 + 4 + 42 + 1 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (34421609) and next prime (34421623).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34421616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62655 + ... + 63201.

It is an arithmetic number, because the mean of its divisors is an integer number (883376).

Almost surely, 2^34421616 is an apocalyptic number.

34421616 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 34421616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53002560).

34421616 is an abundant number, since it is smaller than the sum of its proper divisors (71583504).

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

34421616 is a wasteful number, since it uses less digits than its factorization.

34421616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 594 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 34421616 is about 5866.9937787593. The cubic root of 34421616 is about 325.2947731927.

The spelling of 34421616 in words is "thirty-four million, four hundred twenty-one thousand, six hundred sixteen".