34014025416 has 384 divisors, whose sum is σ = 107971315200. Its totient is φ = 8872657920.

The previous prime is 34014025393. The next prime is 34014025447. The reversal of 34014025416 is 61452041043.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98022955 + ... + 98023301.

It is an arithmetic number, because the mean of its divisors is an integer number (281175300).

Almost surely, 2^34014025416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34014025416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53985657600).

34014025416 is an abundant number, since it is smaller than the sum of its proper divisors (73957289784).

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

34014025416 is a wasteful number, since it uses less digits than its factorization.

34014025416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 34014025416 its reverse (61452041043), we get a palindrome (95466066459).

The spelling of 34014025416 in words is "thirty-four billion, fourteen million, twenty-five thousand, four hundred sixteen".