3973740 has 48 divisors (see below), whose sum is σ = 11251968. Its totient is φ = 1047744.

The previous prime is 3973729. The next prime is 3973741. The reversal of 3973740 is 473793.

3973740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3973740³ (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3973741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5859 + ... + 6501.

It is an arithmetic number, because the mean of its divisors is an integer number (234416).

Almost surely, 2^3973740 is an apocalyptic number.

3973740 is a gapful number since it is divisible by the number (30) 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 3973740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625984).

3973740 is an abundant number, since it is smaller than the sum of its proper divisors (7278228).

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

3973740 is a wasteful number, since it uses less digits than its factorization.

3973740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 33.

The square root of 3973740 is about 1993.4241896797. The cubic root of 3973740 is about 158.3919659735.

The spelling of 3973740 in words is "three million, nine hundred seventy-three thousand, seven hundred forty".