3962640 has 160 divisors (see below), whose sum is σ = 14284800. Its totient is φ = 898560.

The previous prime is 3962627. The next prime is 3962641. The reversal of 3962640 is 462693.

3962640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3962598 and 3962607.

It is not an unprimeable number, because it can be changed into a prime (3962641) 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 31 ways as a sum of consecutive naturals, for example, 50121 + ... + 50199.

It is an arithmetic number, because the mean of its divisors is an integer number (89280).

Almost surely, 2^3962640 is an apocalyptic number.

3962640 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 3962640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142400).

3962640 is an abundant number, since it is smaller than the sum of its proper divisors (10322160).

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

3962640 is a wasteful number, since it uses less digits than its factorization.

3962640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3962640 is about 1990.6380886540. The cubic root of 3962640 is about 158.2443476589.

The spelling of 3962640 in words is "three million, nine hundred sixty-two thousand, six hundred forty".