34536563400 has 48 divisors (see below), whose sum is σ = 107063348400. Its totient is φ = 9209750080.

The previous prime is 34536563389. The next prime is 34536563407. The reversal of 34536563400 is 436563543.

It is a super-2 number, since 2×34536563400² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34536563407) by changing a digit.

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, 28779870 + ... + 28781069.

It is an arithmetic number, because the mean of its divisors is an integer number (2230486425).

Almost surely, 2^34536563400 is an apocalyptic number.

34536563400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34536563400 is an abundant number, since it is smaller than the sum of its proper divisors (72526785000).

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

34536563400 is a wasteful number, since it uses less digits than its factorization.

34536563400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57560958 (or 57560949 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 39.

The spelling of 34536563400 in words is "thirty-four billion, five hundred thirty-six million, five hundred sixty-three thousand, four hundred".