34121478400 has 81 divisors (see below), whose sum is σ = 84492583231. Its totient is φ = 13642680320.

The previous prime is 34121478383. The next prime is 34121478409. The reversal of 34121478400 is 487412143.

It is a happy number.

The square root of 34121478400 is 184720.

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 1686909184 + 32434569216 = 41072^2 + 180096^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34121478409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14776446 + ... + 14778754.

Almost surely, 2^34121478400 is an apocalyptic number.

34121478400 is the 184720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34121478400

34121478400 is an abundant number, since it is smaller than the sum of its proper divisors (50371104831).

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

34121478400 is an frugal number, since it uses more digits than its factorization.

34121478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4644 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 34121478400 in words is "thirty-four billion, one hundred twenty-one million, four hundred seventy-eight thousand, four hundred".