34034400432 has 30 divisors (see below), whose sum is σ = 95249051612. Its totient is φ = 11344800096.

The previous prime is 34034400403. The next prime is 34034400461. The reversal of 34034400432 is 23400443043.

It is an interprime number because it is at equal distance from previous prime (34034400403) and next prime (34034400461).

It is a super-3 number, since 3×34034400432³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34034400396 and 34034400405.

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, 118174858 + ... + 118175145.

Almost surely, 2^34034400432 is an apocalyptic number.

It is an amenable number.

34034400432 is an abundant number, since it is smaller than the sum of its proper divisors (61214651180).

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

34034400432 is a wasteful number, since it uses less digits than its factorization.

34034400432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236350017 (or 236350008 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 34034400432 its reverse (23400443043), we get a palindrome (57434843475).

The spelling of 34034400432 in words is "thirty-four billion, thirty-four million, four hundred thousand, four hundred thirty-two".