3897640467000 has 1152 divisors, whose sum is σ = 16079865984000. Its totient is φ = 847433664000.

The previous prime is 3897640466989. The next prime is 3897640467011. The reversal of 3897640467000 is 7640467983.

It is a happy number.

3897640467000 is a `hidden beast` number, since 38 + 97 + 64 + 0 + 467 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3897640466989) and next prime (3897640467011).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2018456035 + ... + 2018457965.

It is an arithmetic number, because the mean of its divisors is an integer number (13958217000).

Almost surely, 2^{3897640467000} is an apocalyptic number.

3897640467000 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 3897640467000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8039932992000).

3897640467000 is an abundant number, since it is smaller than the sum of its proper divisors (12182225517000).

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

3897640467000 is a wasteful number, since it uses less digits than its factorization.

3897640467000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 3897640467000 in words is "three trillion, eight hundred ninety-seven billion, six hundred forty million, four hundred sixty-seven thousand".