34007854100 has 36 divisors (see below), whose sum is σ = 80505868128. Its totient is φ = 12366492000.

The previous prime is 34007854099. The next prime is 34007854103. The reversal of 34007854100 is 145870043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34007854103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15457016 + ... + 15459215.

Almost surely, 2^34007854100 is an apocalyptic number.

It is an amenable number.

34007854100 is an abundant number, since it is smaller than the sum of its proper divisors (46498014028).

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

34007854100 is a wasteful number, since it uses less digits than its factorization.

34007854100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30916256 (or 30916249 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 34007854100 in words is "thirty-four billion, seven million, eight hundred fifty-four thousand, one hundred".