3401964 has 36 divisors (see below), whose sum is σ = 8766576. Its totient is φ = 1111968.

The previous prime is 3401963. The next prime is 3402013. The reversal of 3401964 is 4691043.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (3401963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1017 + ... + 2799.

It is an arithmetic number, because the mean of its divisors is an integer number (243516).

Almost surely, 2^3401964 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 3401964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383288).

3401964 is an abundant number, since it is smaller than the sum of its proper divisors (5364612).

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

3401964 is a wasteful number, since it uses less digits than its factorization.

3401964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3401964 is about 1844.4413788462. The cubic root of 3401964 is about 150.3984075393.

It can be divided in two parts, 340 and 1964, that added together give a square (2304 = 48²).

The spelling of 3401964 in words is "three million, four hundred one thousand, nine hundred sixty-four".