3897113193792 has 2688 divisors, whose sum is σ = 16230667299840. Its totient is φ = 888628838400.

The previous prime is 3897113193773. The next prime is 3897113193821. The reversal of 3897113193792 is 2973913117983.

3897113193792 is a `hidden beast` number, since 389 + 7 + 1 + 131 + 9 + 37 + 92 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 95051541292 + ... + 95051541332.

It is an arithmetic number, because the mean of its divisors is an integer number (6038194680).

Almost surely, 2^{3897113193792} is an apocalyptic number.

3897113193792 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 3897113193792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8115333649920).

3897113193792 is an abundant number, since it is smaller than the sum of its proper divisors (12333554106048).

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

3897113193792 is a wasteful number, since it uses less digits than its factorization.

3897113193792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 151 counting only the distinct ones).

The product of its digits is 15431472, while the sum is 63.

The spelling of 3897113193792 in words is "three trillion, eight hundred ninety-seven billion, one hundred thirteen million, one hundred ninety-three thousand, seven hundred ninety-two".