34250632416 has 1152 divisors, whose sum is σ = 142215091200. Its totient is φ = 7569469440.

The previous prime is 34250632331. The next prime is 34250632421. The reversal of 34250632416 is 61423605243.

34250632416 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 0 + 632 + 4 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 925692750 + ... + 925692786.

It is an arithmetic number, because the mean of its divisors is an integer number (123450600).

Almost surely, 2^34250632416 is an apocalyptic number.

34250632416 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 34250632416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71107545600).

34250632416 is an abundant number, since it is smaller than the sum of its proper divisors (107964458784).

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

34250632416 is a wasteful number, since it uses less digits than its factorization.

34250632416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

It can be divided in two parts, 34250 and 632416, that added together give a palindrome (666666).

The spelling of 34250632416 in words is "thirty-four billion, two hundred fifty million, six hundred thirty-two thousand, four hundred sixteen".