3897978215040 has 2560 divisors, whose sum is σ = 18214896268800. Its totient is φ = 771387162624.

The previous prime is 3897978215039. The next prime is 3897978215057. The reversal of 3897978215040 is 405128797983.

3897978215040 is a `hidden beast` number, since 38 + 9 + 7 + 9 + 78 + 21 + 504 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14072123382 + ... + 14072123658.

It is an arithmetic number, because the mean of its divisors is an integer number (7115193855).

Almost surely, 2^{3897978215040} is an apocalyptic number.

3897978215040 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 3897978215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9107448134400).

3897978215040 is an abundant number, since it is smaller than the sum of its proper divisors (14316918053760).

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

3897978215040 is a wasteful number, since it uses less digits than its factorization.

3897978215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 3897978215040 in words is "three trillion, eight hundred ninety-seven billion, nine hundred seventy-eight million, two hundred fifteen thousand, forty".