3867402000 has 480 divisors, whose sum is σ = 15683496192. Its totient is φ = 802560000.

The previous prime is 3867401963. The next prime is 3867402001. The reversal of 3867402000 is 2047683.

3867402000 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 not an unprimeable number, because it can be changed into a prime (3867402001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5081620 + ... + 5082380.

Almost surely, 2^3867402000 is an apocalyptic number.

3867402000 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 3867402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7841748096).

3867402000 is an abundant number, since it is smaller than the sum of its proper divisors (11816094192).

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

3867402000 is a wasteful number, since it uses less digits than its factorization.

3867402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3867402000 is about 62188.4394401403. The cubic root of 3867402000 is about 1569.6630648078.

Adding to 3867402000 its reverse (2047683), we get a palindrome (3869449683).

The spelling of 3867402000 in words is "three billion, eight hundred sixty-seven million, four hundred two thousand".