3461640 has 128 divisors (see below), whose sum is σ = 12821760. Its totient is φ = 728064.

The previous prime is 3461617. The next prime is 3461641. The reversal of 3461640 is 461643.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3461640.

It is not an unprimeable number, because it can be changed into a prime (3461641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10762 + ... + 11078.

It is an arithmetic number, because the mean of its divisors is an integer number (100170).

Almost surely, 2^3461640 is an apocalyptic number.

3461640 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 3461640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410880).

3461640 is an abundant number, since it is smaller than the sum of its proper divisors (9360120).

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

3461640 is a wasteful number, since it uses less digits than its factorization.

3461640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3461640 is about 1860.5483062796. The cubic root of 3461640 is about 151.2727261345.

The spelling of 3461640 in words is "three million, four hundred sixty-one thousand, six hundred forty".