34021002400 has 288 divisors, whose sum is σ = 104873287680. Its totient is φ = 10468224000.

The previous prime is 34021002397. The next prime is 34021002419. The reversal of 34021002400 is 420012043.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4862905 + ... + 4869895.

It is an arithmetic number, because the mean of its divisors is an integer number (364143360).

Almost surely, 2^34021002400 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 34021002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52436643840).

34021002400 is an abundant number, since it is smaller than the sum of its proper divisors (70852285280).

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

34021002400 is a wasteful number, since it uses less digits than its factorization.

34021002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7108 (or 7095 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 34021002400 its reverse (420012043), we get a palindrome (34441014443).

The spelling of 34021002400 in words is "thirty-four billion, twenty-one million, two thousand, four hundred".