3402881600 has 42 divisors (see below), whose sum is σ = 8373219474. Its totient is φ = 1361152000.

The previous prime is 3402881569. The next prime is 3402881609. The reversal of 3402881600 is 61882043.

It can be written as a sum of positive squares in 3 ways, for example, as 13778944 + 3389102656 = 3712^2 + 58216^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3402881609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1061801 + ... + 1065000.

Almost surely, 2^3402881600 is an apocalyptic number.

It is an amenable number.

3402881600 is an abundant number, since it is smaller than the sum of its proper divisors (4970337874).

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

3402881600 is a wasteful number, since it uses less digits than its factorization.

3402881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126823 (or 2126808 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 3402881600 is about 58334.2232313074. The cubic root of 3402881600 is about 1504.1192847144.

The spelling of 3402881600 in words is "three billion, four hundred two million, eight hundred eighty-one thousand, six hundred".