3400024400 has 30 divisors (see below), whose sum is σ = 8168559582. Its totient is φ = 1360009600.

The previous prime is 3400024399. The next prime is 3400024423. The reversal of 3400024400 is 44200043.

It can be written as a sum of positive squares in 3 ways, for example, as 967956544 + 2432067856 = 31112^2 + 49316^2 .

It is a super-4 number, since 4×3400024400⁴ (a number of 39 digits) contains 4444 as substring.

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, 4249631 + ... + 4250430.

Almost surely, 2^3400024400 is an apocalyptic number.

It is an amenable number.

3400024400 is an abundant number, since it is smaller than the sum of its proper divisors (4768535182).

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

3400024400 is a wasteful number, since it uses less digits than its factorization.

3400024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8500079 (or 8500068 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 3400024400 is about 58309.7281763515. The cubic root of 3400024400 is about 1503.6981932697.

Adding to 3400024400 its reverse (44200043), we get a palindrome (3444224443).

The spelling of 3400024400 in words is "three billion, four hundred million, twenty-four thousand, four hundred".