3460896 has 72 divisors (see below), whose sum is σ = 10054044. Its totient is φ = 1128960.

The previous prime is 3460883. The next prime is 3460921. The reversal of 3460896 is 6980643.

It can be written as a sum of positive squares in 2 ways, for example, as 3459600 + 1296 = 1860^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3460896² = 23955602245632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 3460896.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17470 + ... + 17666.

Almost surely, 2^3460896 is an apocalyptic number.

3460896 is a gapful number since it is divisible by the number (36) 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 3460896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5027022).

3460896 is an abundant number, since it is smaller than the sum of its proper divisors (6593148).

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

3460896 is a wasteful number, since it uses less digits than its factorization.

3460896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3460896 is about 1860.3483544756. The cubic root of 3460896 is about 151.2618878255.

It can be divided in two parts, 3460 and 896, that added together give a square (4356 = 66²).

The spelling of 3460896 in words is "three million, four hundred sixty thousand, eight hundred ninety-six".