3401640 has 96 divisors (see below), whose sum is σ = 12074400. Its totient is φ = 823680.

The previous prime is 3401621. The next prime is 3401659. The reversal of 3401640 is 461043.

It is an interprime number because it is at equal distance from previous prime (3401621) and next prime (3401659).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3531 + ... + 4389.

It is an arithmetic number, because the mean of its divisors is an integer number (125775).

Almost surely, 2^3401640 is an apocalyptic number.

3401640 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 3401640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6037200).

3401640 is an abundant number, since it is smaller than the sum of its proper divisors (8672760).

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

3401640 is a wasteful number, since it uses less digits than its factorization.

3401640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3401640 is about 1844.3535452836. The cubic root of 3401640 is about 150.3936327846.

Adding to 3401640 its reverse (461043), we get a palindrome (3862683).

The spelling of 3401640 in words is "three million, four hundred one thousand, six hundred forty".