34016011400 has 96 divisors (see below), whose sum is σ = 90423051840. Its totient is φ = 11657775360.

The previous prime is 34016011387. The next prime is 34016011487. The reversal of 34016011400 is 411061043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5480699 + ... + 5486901.

It is an arithmetic number, because the mean of its divisors is an integer number (941906790).

Almost surely, 2^34016011400 is an apocalyptic number.

It is an amenable number.

34016011400 is an abundant number, since it is smaller than the sum of its proper divisors (56407040440).

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

34016011400 is a wasteful number, since it uses less digits than its factorization.

34016011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10143 (or 10134 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 34016011400 its reverse (411061043), we get a palindrome (34427072443).

The spelling of 34016011400 in words is "thirty-four billion, sixteen million, eleven thousand, four hundred".