34460365506 has 32 divisors (see below), whose sum is σ = 78810897408. Its totient is φ = 9840275280.

The previous prime is 34460365487. The next prime is 34460365571. The reversal of 34460365506 is 60556306443.

It is a happy number.

34460365506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×34460365506³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155200 + ... + 304971.

It is an arithmetic number, because the mean of its divisors is an integer number (2462840544).

Almost surely, 2^34460365506 is an apocalyptic number.

34460365506 is an abundant number, since it is smaller than the sum of its proper divisors (44350531902).

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

34460365506 is a wasteful number, since it uses less digits than its factorization.

34460365506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461966.

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 34460365506 in words is "thirty-four billion, four hundred sixty million, three hundred sixty-five thousand, five hundred six".