3136896 has 96 divisors (see below), whose sum is σ = 10342800. Its totient is φ = 893952.

The previous prime is 3136877. The next prime is 3136907. The reversal of 3136896 is 6986313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3136896.

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, 7870 + ... + 8258.

Almost surely, 2^3136896 is an apocalyptic number.

3136896 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 3136896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171400).

3136896 is an abundant number, since it is smaller than the sum of its proper divisors (7205904).

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

3136896 is a wasteful number, since it uses less digits than its factorization.

3136896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 401 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3136896 is about 1771.1284538395. The cubic root of 3136896 is about 146.3861672857.

The spelling of 3136896 in words is "three million, one hundred thirty-six thousand, eight hundred ninety-six".