3401605410 has 128 divisors (see below), whose sum is σ = 9508423680. Its totient is φ = 762753024.

The previous prime is 3401605367. The next prime is 3401605421. The reversal of 3401605410 is 145061043.

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 63 ways as a sum of consecutive naturals, for example, 5895042 + ... + 5895618.

It is an arithmetic number, because the mean of its divisors is an integer number (74284560).

Almost surely, 2^3401605410 is an apocalyptic number.

3401605410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401605410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754211840).

3401605410 is an abundant number, since it is smaller than the sum of its proper divisors (6106818270).

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

3401605410 is a wasteful number, since it uses less digits than its factorization.

3401605410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3401605410 is about 58323.2836009771. The cubic root of 3401605410 is about 1503.9312301743.

Adding to 3401605410 its reverse (145061043), we get a palindrome (3546666453).

The spelling of 3401605410 in words is "three billion, four hundred one million, six hundred five thousand, four hundred ten".