3900812681376 has 288 divisors, whose sum is σ = 12007392965568. Its totient is φ = 1194116014080.

The previous prime is 3900812681369. The next prime is 3900812681377. The reversal of 3900812681376 is 6731862180093.

3900812681376 is a `hidden beast` number, since 3 + 9 + 0 + 0 + 8 + 1 + 268 + 1 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3900812681377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1720692595 + ... + 1720694861.

It is an arithmetic number, because the mean of its divisors is an integer number (41692336686).

Almost surely, 2^{3900812681376} is an apocalyptic number.

3900812681376 is a gapful number since it is divisible by the number (36) 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 3900812681376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6003696482784).

3900812681376 is an abundant number, since it is smaller than the sum of its proper divisors (8106580284192).

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

3900812681376 is a wasteful number, since it uses less digits than its factorization.

3900812681376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 3900812681376 in words is "three trillion, nine hundred billion, eight hundred twelve million, six hundred eighty-one thousand, three hundred seventy-six".