3892406004 has 72 divisors (see below), whose sum is σ = 10308316928. Its totient is φ = 1236850560.

The previous prime is 3892405981. The next prime is 3892406039. The reversal of 3892406004 is 4006042983.

It is a happy number.

3892406004 is a `hidden beast` number, since 3 + 8 + 9 + 2 + 40 + 600 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3892406004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48744 + ... + 100800.

Almost surely, 2^3892406004 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 3892406004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154158464).

3892406004 is an abundant number, since it is smaller than the sum of its proper divisors (6415910924).

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

3892406004 is a wasteful number, since it uses less digits than its factorization.

3892406004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52165 (or 52160 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3892406004 is about 62389.1497297407. The cubic root of 3892406004 is about 1573.0385936243.

Adding to 3892406004 its reverse (4006042983), we get a palindrome (7898448987).

The spelling of 3892406004 in words is "three billion, eight hundred ninety-two million, four hundred six thousand, four".