3789632 has 56 divisors (see below), whose sum is σ = 9387840. Its totient is φ = 1474560.

The previous prime is 3789613. The next prime is 3789701. The reversal of 3789632 is 2369873.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×3789632² = 28722621390848, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3 + 7⁴ + 8⁷ + 9² + 6⁸ + 3⁷ + 2¹³ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4544 + ... + 5312.

It is an arithmetic number, because the mean of its divisors is an integer number (167640).

Almost surely, 2^3789632 is an apocalyptic number.

3789632 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 3789632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693920).

3789632 is an abundant number, since it is smaller than the sum of its proper divisors (5598208).

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

3789632 is a wasteful number, since it uses less digits than its factorization.

3789632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 789 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 3789632 is about 1946.6977166473. The cubic root of 3789632 is about 155.9070232728.

The spelling of 3789632 in words is "three million, seven hundred eighty-nine thousand, six hundred thirty-two".