3983742 has 48 divisors (see below), whose sum is σ = 10238592. Its totient is φ = 1137240.

The previous prime is 3983719. The next prime is 3983747. The reversal of 3983742 is 2473893.

It is an Ulam number.

It is a d-powerful number, because it can be written as 3¹¹ + 9 + 8⁵ + 3¹³ + 7⁵ + 4⁸ + 2²¹ .

It is a junction number, because it is equal to n+sod(n) for n = 3983697 and 3983706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3983747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2817 + ... + 3987.

It is an arithmetic number, because the mean of its divisors is an integer number (213304).

Almost surely, 2^3983742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3983742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119296).

3983742 is an abundant number, since it is smaller than the sum of its proper divisors (6254850).

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

3983742 is a wasteful number, since it uses less digits than its factorization.

3983742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1183 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3983742 is about 1995.9313615453. The cubic root of 3983742 is about 158.5247467721.

Adding to 3983742 its product of digits (36288), we get a triangular number (4020030 = T₂₈₃₅).

The spelling of 3983742 in words is "three million, nine hundred eighty-three thousand, seven hundred forty-two".