3401760 has 96 divisors (see below), whose sum is σ = 11309760. Its totient is φ = 857088.

The previous prime is 3401759. The next prime is 3401767. The reversal of 3401760 is 671043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8934 + ... + 9306.

It is an arithmetic number, because the mean of its divisors is an integer number (117810).

Almost surely, 2^3401760 is an apocalyptic number.

3401760 is a gapful number since it is divisible by the number (30) 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 3401760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654880).

3401760 is an abundant number, since it is smaller than the sum of its proper divisors (7908000).

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

3401760 is a wasteful number, since it uses less digits than its factorization.

3401760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 3401760 is about 1844.3860767204. The cubic root of 3401760 is about 150.3954012476.

The spelling of 3401760 in words is "three million, four hundred one thousand, seven hundred sixty".