3461952 has 112 divisors (see below), whose sum is σ = 10525760. Its totient is φ = 995328.

The previous prime is 3461951. The next prime is 3461989. The reversal of 3461952 is 2591643.

3461952 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3461952² = 23970223300608, which contains 22 as substring.

Its product of digits (6480) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3461951) 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, 47388 + ... + 47460.

It is an arithmetic number, because the mean of its divisors is an integer number (93980).

Almost surely, 2^3461952 is an apocalyptic number.

3461952 is a gapful number since it is divisible by the number (32) 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 3461952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5262880).

3461952 is an abundant number, since it is smaller than the sum of its proper divisors (7063808).

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

3461952 is a wasteful number, since it uses less digits than its factorization.

3461952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 3461952 is about 1860.6321506413. The cubic root of 3461952 is about 151.2772707697.

The spelling of 3461952 in words is "three million, four hundred sixty-one thousand, nine hundred fifty-two".