3400014400 has 42 divisors (see below), whose sum is σ = 8366164370. Its totient is φ = 1360005120.

The previous prime is 3400014391. The next prime is 3400014419. The reversal of 3400014400 is 44100043.

It can be written as a sum of positive squares in 3 ways, for example, as 19289664 + 3380724736 = 4392^2 + 58144^2 .

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

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1060905 + ... + 1064104.

Almost surely, 2^3400014400 is an apocalyptic number.

It is an amenable number.

3400014400 is an abundant number, since it is smaller than the sum of its proper divisors (4966149970).

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

3400014400 is a wasteful number, since it uses less digits than its factorization.

3400014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125031 (or 2125016 counting only the distinct ones).

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

The square root of 3400014400 is about 58309.6424273036. The cubic root of 3400014400 is about 1503.6967190649.

Adding to 3400014400 its reverse (44100043), we get a palindrome (3444114443).

It can be divided in two parts, 34000 and 14400, that added together give a square (48400 = 220²).

The spelling of 3400014400 in words is "three billion, four hundred million, fourteen thousand, four hundred".