3835944 has 128 divisors (see below), whose sum is σ = 12672000. Its totient is φ = 1052352.

The previous prime is 3835939. The next prime is 3835957. The reversal of 3835944 is 4495383.

It is a super-2 number, since 2×3835944² = 29428932742272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3835899 and 3835908.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64987 + ... + 65045.

It is an arithmetic number, because the mean of its divisors is an integer number (99000).

Almost surely, 2^3835944 is an apocalyptic number.

3835944 is the 1239-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3835944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6336000).

3835944 is an abundant number, since it is smaller than the sum of its proper divisors (8836056).

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

3835944 is a wasteful number, since it uses less digits than its factorization.

3835944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 114 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3835944 is about 1958.5566113850. The cubic root of 3835944 is about 156.5395518375.

The spelling of 3835944 in words is "three million, eight hundred thirty-five thousand, nine hundred forty-four".