34610050440 has 1152 divisors, whose sum is σ = 149175475200. Its totient is φ = 7106641920.

The previous prime is 34610050403. The next prime is 34610050459. The reversal of 34610050440 is 4405001643.

34610050440 is a `hidden beast` number, since 3 + 4 + 610 + 0 + 5 + 0 + 4 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 474110244 + ... + 474110316.

It is an arithmetic number, because the mean of its divisors is an integer number (129492600).

Almost surely, 2^34610050440 is an apocalyptic number.

34610050440 is a gapful number since it is divisible by the number (30) 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 34610050440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74587737600).

34610050440 is an abundant number, since it is smaller than the sum of its proper divisors (114565424760).

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

34610050440 is a wasteful number, since it uses less digits than its factorization.

34610050440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 138 counting only the distinct ones).

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

The spelling of 34610050440 in words is "thirty-four billion, six hundred ten million, fifty thousand, four hundred forty".