34008044400 has 720 divisors, whose sum is σ = 141443947008. Its totient is φ = 7755264000.

The previous prime is 34008044393. The next prime is 34008044429. The reversal of 34008044400 is 444080043.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18175465 + ... + 18177335.

Almost surely, 2^34008044400 is an apocalyptic number.

34008044400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34008044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70721973504).

34008044400 is an abundant number, since it is smaller than the sum of its proper divisors (107435902608).

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

34008044400 is a wasteful number, since it uses less digits than its factorization.

34008044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 34008044400 in words is "thirty-four billion, eight million, forty-four thousand, four hundred".