3401002112 has 64 divisors (see below), whose sum is σ = 6975055800. Its totient is φ = 1650622464.

The previous prime is 3401002093. The next prime is 3401002141. The reversal of 3401002112 is 2112001043.

It can be written as a sum of positive squares in 4 ways, for example, as 1809311296 + 1591690816 = 42536^2 + 39896^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3660464 + ... + 3661392.

Almost surely, 2^3401002112 is an apocalyptic number.

3401002112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487527900).

3401002112 is an abundant number, since it is smaller than the sum of its proper divisors (3574053688).

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

3401002112 is an equidigital number, since it uses as much as digits as its factorization.

3401002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 3401002112 is about 58318.1113548784. Note that the first 3 decimals coincide. The cubic root of 3401002112 is about 1503.8423140853.

Adding to 3401002112 its reverse (2112001043), we get a palindrome (5513003155).

The spelling of 3401002112 in words is "three billion, four hundred one million, two thousand, one hundred twelve".