34365744400 has 405 divisors, whose sum is σ = 96571473327. Its totient is φ = 11745676800.

The previous prime is 34365744383. The next prime is 34365744403. The reversal of 34365744400 is 444756343.

It is a happy number.

The square root of 34365744400 is 185380.

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 8857821456 + 25507922944 = 94116^2 + 159712^2 .

It is a super-2 number, since 2×34365744400² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (34365744403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1108572385 + ... + 1108572415.

Almost surely, 2^34365744400 is an apocalyptic number.

34365744400 is the 185380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34365744400

34365744400 is an abundant number, since it is smaller than the sum of its proper divisors (62205728927).

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

34365744400 is a wasteful number, since it uses less digits than its factorization.

34365744400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 40.

The spelling of 34365744400 in words is "thirty-four billion, three hundred sixty-five million, seven hundred forty-four thousand, four hundred".