34436220516 has 18 divisors (see below), whose sum is σ = 87047113062. Its totient is φ = 11478740160.

The previous prime is 34436220503. The next prime is 34436220529. The reversal of 34436220516 is 61502263443.

34436220516 is a `hidden beast` number, since 3 + 4 + 436 + 2 + 205 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (34436220503) and next prime (34436220529).

It can be written as a sum of positive squares in only one way, i.e., 33620889600 + 815330916 = 183360^2 + 28554^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 956561681 = 34436220516 / (3 + 4 + 4 + 3 + 6 + 2 + 2 + 0 + 5 + 1 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 478280805 + ... + 478280876.

Almost surely, 2^34436220516 is an apocalyptic number.

34436220516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34436220516 is an abundant number, since it is smaller than the sum of its proper divisors (52610892546).

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

34436220516 is a wasteful number, since it uses less digits than its factorization.

34436220516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956561691 (or 956561686 counting only the distinct ones).

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

Adding to 34436220516 its reverse (61502263443), we get a palindrome (95938483959).

The spelling of 34436220516 in words is "thirty-four billion, four hundred thirty-six million, two hundred twenty thousand, five hundred sixteen".