3493776 has 80 divisors (see below), whose sum is σ = 10624320. Its totient is φ = 975360.

The previous prime is 3493759. The next prime is 3493781. The reversal of 3493776 is 6773943.

3493776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6610 + ... + 7118.

It is an arithmetic number, because the mean of its divisors is an integer number (132804).

Almost surely, 2^3493776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3493776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312160).

3493776 is an abundant number, since it is smaller than the sum of its proper divisors (7130544).

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

3493776 is a wasteful number, since it uses less digits than its factorization.

3493776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 538 counting only the distinct ones).

The product of its digits is 95256, while the sum is 39.

The square root of 3493776 is about 1869.1645192438. The cubic root of 3493776 is about 151.7393964801.

The spelling of 3493776 in words is "three million, four hundred ninety-three thousand, seven hundred seventy-six".