3970431000 has 256 divisors, whose sum is σ = 13837824000. Its totient is φ = 1053129600.

The previous prime is 3970430999. The next prime is 3970431001. The reversal of 3970431000 is 1340793.

It is an interprime number because it is at equal distance from previous prime (3970430999) and next prime (3970431001).

It is a super-2 number, since 2×3970431000² = 31528644651522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3970431001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8288761 + ... + 8289239.

It is an arithmetic number, because the mean of its divisors is an integer number (54054000).

Almost surely, 2^3970431000 is an apocalyptic number.

3970431000 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 3970431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918912000).

3970431000 is an abundant number, since it is smaller than the sum of its proper divisors (9867393000).

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

3970431000 is a wasteful number, since it uses less digits than its factorization.

3970431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3970431000 is about 63011.3561193536. The cubic root of 3970431000 is about 1583.4798854807.

Adding to 3970431000 its reverse (1340793), we get a palindrome (3971771793).

The spelling of 3970431000 in words is "three billion, nine hundred seventy million, four hundred thirty-one thousand".