3408224400 has 405 divisors, whose sum is σ = 13858197561. Its totient is φ = 773418240.

The previous prime is 3408224381. The next prime is 3408224423. The reversal of 3408224400 is 44228043.

It is a happy number.

The square root of 3408224400 is 58380.

It is a perfect power (a square), and thus also a powerful number.

3408224400 is a `hidden beast` number, since 34 + 0 + 8 + 224 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1226960784 + 2181263616 = 35028^2 + 46704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24519531 + ... + 24519669.

Almost surely, 2^3408224400 is an apocalyptic number.

3408224400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3408224400 is the 58380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3408224400

3408224400 is an abundant number, since it is smaller than the sum of its proper divisors (10449973161).

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

3408224400 is a wasteful number, since it uses less digits than its factorization.

3408224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The cubic root of 3408224400 is about 1504.9060694938.

The spelling of 3408224400 in words is "three billion, four hundred eight million, two hundred twenty-four thousand, four hundred".