34281259200400 has 135 divisors (see below), whose sum is σ = 82904149096851. Its totient is φ = 13622617413120.

The previous prime is 34281259200379. The next prime is 34281259200403. The reversal of 34281259200400 is 400295218243.

The square root of 34281259200400 is 5855020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 16208965873296 + 18072293327104 = 4026036^2 + 4251152^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34281259200403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19555765924 + ... + 19555767676.

Almost surely, 2^{34281259200400} is an apocalyptic number.

34281259200400 is the 5855020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34281259200400

34281259200400 is an abundant number, since it is smaller than the sum of its proper divisors (48622889896451).

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

34281259200400 is an frugal number, since it uses more digits than its factorization.

34281259200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 34281259200400 in words is "thirty-four trillion, two hundred eighty-one billion, two hundred fifty-nine million, two hundred thousand, four hundred".