34004154400 has 144 divisors (see below), whose sum is σ = 86705700480. Its totient is φ = 13009075200.

The previous prime is 34004154391. The next prime is 34004154413. The reversal of 34004154400 is 445140043.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1736665 + ... + 1756135.

It is an arithmetic number, because the mean of its divisors is an integer number (602122920).

Almost surely, 2^34004154400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34004154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43352850240).

34004154400 is an abundant number, since it is smaller than the sum of its proper divisors (52701546080).

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

34004154400 is a wasteful number, since it uses less digits than its factorization.

34004154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19587 (or 19574 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 34004154400 its reverse (445140043), we get a palindrome (34449294443).

The spelling of 34004154400 in words is "thirty-four billion, four million, one hundred fifty-four thousand, four hundred".