34400120112032 has 12 divisors (see below), whose sum is σ = 67725236470626. Its totient is φ = 17200060056000.

The previous prime is 34400120112011. The next prime is 34400120112049. The reversal of 34400120112032 is 23021102100443.

It can be written as a sum of positive squares in only one way, i.e., 30170368475536 + 4229751636496 = 5492756^2 + 2056636^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34400120111989 and 34400120112007.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 537501876719 + ... + 537501876782.

Almost surely, 2^{34400120112032} is an apocalyptic number.

34400120112032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34400120112032 is a deficient number, since it is larger than the sum of its proper divisors (33325116358594).

34400120112032 is a wasteful number, since it uses less digits than its factorization.

34400120112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075003753511 (or 1075003753503 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 34400120112032 its reverse (23021102100443), we get a palindrome (57421222212475).

The spelling of 34400120112032 in words is "thirty-four trillion, four hundred billion, one hundred twenty million, one hundred twelve thousand, thirty-two".