3962000 has 80 divisors (see below), whose sum is σ = 10987392. Its totient is φ = 1353600.

The previous prime is 3961987. The next prime is 3962029. The reversal of 3962000 is 2693.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13859 + ... + 14141.

Almost surely, 2^3962000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493696).

3962000 is an abundant number, since it is smaller than the sum of its proper divisors (7025392).

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

3962000 is a wasteful number, since it uses less digits than its factorization.

3962000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 3962000 is about 1990.4773296875. The cubic root of 3962000 is about 158.2358279317.

Adding to 3962000 its reverse (2693), we get a palindrome (3964693).

The spelling of 3962000 in words is "three million, nine hundred sixty-two thousand".