34436666400 has 72 divisors (see below), whose sum is σ = 112091356944. Its totient is φ = 9183110400.

The previous prime is 34436666387. The next prime is 34436666423. The reversal of 34436666400 is 466663443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7171906 + ... + 7176705.

It is an arithmetic number, because the mean of its divisors is an integer number (1556824402).

Almost surely, 2^34436666400 is an apocalyptic number.

34436666400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34436666400 is an abundant number, since it is smaller than the sum of its proper divisors (77654690544).

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

34436666400 is a wasteful number, since it uses less digits than its factorization.

34436666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14348634 (or 14348621 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 34436666400 in words is "thirty-four billion, four hundred thirty-six million, six hundred sixty-six thousand, four hundred".