3733632 has 96 divisors (see below), whose sum is σ = 12305280. Its totient is φ = 1064448.

The previous prime is 3733621. The next prime is 3733637. The reversal of 3733632 is 2363373.

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

It is a super-2 number, since 2×3733632² = 27880015822848, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3733596 and 3733605.

It is not an unprimeable number, because it can be changed into a prime (3733637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7833 + ... + 8295.

It is an arithmetic number, because the mean of its divisors is an integer number (128180).

Almost surely, 2^3733632 is an apocalyptic number.

3733632 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 3733632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152640).

3733632 is an abundant number, since it is smaller than the sum of its proper divisors (8571648).

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

3733632 is a wasteful number, since it uses less digits than its factorization.

3733632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 475 counting only the distinct ones).

The product of its digits is 6804, while the sum is 27.

The square root of 3733632 is about 1932.2608519556. The cubic root of 3733632 is about 155.1352548162.

It can be divided in two parts, 373 and 3632, that added together give a triangular number (4005 = T₈₉).

The spelling of 3733632 in words is "three million, seven hundred thirty-three thousand, six hundred thirty-two".