3496032 has 72 divisors (see below), whose sum is σ = 10155600. Its totient is φ = 1140480.

The previous prime is 3496021. The next prime is 3496061. The reversal of 3496032 is 2306943.

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

It is a junction number, because it is equal to n+sod(n) for n = 3495987 and 3496005.

It is a congruent number.

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, 17469 + ... + 17667.

It is an arithmetic number, because the mean of its divisors is an integer number (141050).

Almost surely, 2^3496032 is an apocalyptic number.

3496032 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 3496032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077800).

3496032 is an abundant number, since it is smaller than the sum of its proper divisors (6659568).

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

3496032 is a wasteful number, since it uses less digits than its factorization.

3496032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3496032 is about 1869.7679000347. The cubic root of 3496032 is about 151.7720498254.

The spelling of 3496032 in words is "three million, four hundred ninety-six thousand, thirty-two".