3461648 has 40 divisors (see below), whose sum is σ = 7216800. Its totient is φ = 1603584.

The previous prime is 3461641. The next prime is 3461651. The reversal of 3461648 is 8461643.

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 7 ways as a sum of consecutive naturals, for example, 17840 + ... + 18032.

It is an arithmetic number, because the mean of its divisors is an integer number (180420).

Almost surely, 2^3461648 is an apocalyptic number.

3461648 is a gapful number since it is divisible by the number (38) 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 3461648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608400).

3461648 is an abundant number, since it is smaller than the sum of its proper divisors (3755152).

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

3461648 is a wasteful number, since it uses less digits than its factorization.

3461648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 3461648 is about 1860.5504561823. The cubic root of 3461648 is about 151.2728426671.

The spelling of 3461648 in words is "three million, four hundred sixty-one thousand, six hundred forty-eight".