34401599552 has 28 divisors (see below), whose sum is σ = 69553712556. Its totient is φ = 16876254720.

The previous prime is 34401599539. The next prime is 34401599563. The reversal of 34401599552 is 25599510443.

It can be written as a sum of positive squares in 2 ways, for example, as 26589868096 + 7811731456 = 163064^2 + 88384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34401599497 and 34401599506.

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 3 ways as a sum of consecutive naturals, for example, 5067599 + ... + 5074382.

Almost surely, 2^34401599552 is an apocalyptic number.

34401599552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34401599552 is an abundant number, since it is smaller than the sum of its proper divisors (35152113004).

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

34401599552 is a wasteful number, since it uses less digits than its factorization.

34401599552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10142046 (or 10142036 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 47.

The spelling of 34401599552 in words is "thirty-four billion, four hundred one million, five hundred ninety-nine thousand, five hundred fifty-two".