3897214739712 has 864 divisors, whose sum is σ = 14148731520000. Its totient is φ = 1052138336256.

The previous prime is 3897214739711. The next prime is 3897214739713. The reversal of 3897214739712 is 2179374127983.

3897214739712 is a `hidden beast` number, since 3 + 8 + 9 + 72 + 1 + 473 + 97 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3897214739711) and next prime (3897214739713).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3897214739712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3897214739711) 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, 4240711989 + ... + 4240712907.

Almost surely, 2^{3897214739712} is an apocalyptic number.

3897214739712 is a gapful number since it is divisible by the number (32) 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 3897214739712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7074365760000).

3897214739712 is an abundant number, since it is smaller than the sum of its proper divisors (10251516780288).

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

3897214739712 is a wasteful number, since it uses less digits than its factorization.

3897214739712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1609 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The spelling of 3897214739712 in words is "three trillion, eight hundred ninety-seven billion, two hundred fourteen million, seven hundred thirty-nine thousand, seven hundred twelve".