3377952 has 72 divisors (see below), whose sum is σ = 9896796. Its totient is φ = 1092096.

The previous prime is 3377947. The next prime is 3377963. The reversal of 3377952 is 2597733.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3370896 + 7056 = 1836^2 + 84^2 .

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

It is a super-2 number, since 2×3377952² = 22821119428608, which contains 22 as substring.

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

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, 10498 + ... + 10814.

Almost surely, 2^3377952 is an apocalyptic number.

3377952 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 3377952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948398).

3377952 is an abundant number, since it is smaller than the sum of its proper divisors (6518844).

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

3377952 is a wasteful number, since it uses less digits than its factorization.

3377952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 359 counting only the distinct ones).

The product of its digits is 39690, while the sum is 36.

The square root of 3377952 is about 1837.9205641159. The cubic root of 3377952 is about 150.0437205888.

The spelling of 3377952 in words is "three million, three hundred seventy-seven thousand, nine hundred fifty-two".