3420202400 has 36 divisors (see below), whose sum is σ = 8349571062. Its totient is φ = 1368080640.

The previous prime is 3420202393. The next prime is 3420202433. The reversal of 3420202400 is 42020243.

It can be written as a sum of positive squares in 3 ways, for example, as 3263151376 + 157051024 = 57124^2 + 12532^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2136827 + ... + 2138426.

Almost surely, 2^3420202400 is an apocalyptic number.

It is an amenable number.

3420202400 is an abundant number, since it is smaller than the sum of its proper divisors (4929368662).

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

3420202400 is a wasteful number, since it uses less digits than its factorization.

3420202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275273 (or 4275260 counting only the distinct ones).

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

The square root of 3420202400 is about 58482.4965267387. The cubic root of 3420202400 is about 1506.6669755745. Note that the first 3 decimals are identical.

Adding to 3420202400 its reverse (42020243), we get a palindrome (3462222643).

The spelling of 3420202400 in words is "three billion, four hundred twenty million, two hundred two thousand, four hundred".