3861915789312 has 576 divisors, whose sum is σ = 13626429223680. Its totient is φ = 1029655756800.

The previous prime is 3861915789311. The next prime is 3861915789409. The reversal of 3861915789312 is 2139875191683.

3861915789312 is a `hidden beast` number, since 3 + 8 + 6 + 191 + 57 + 89 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3861915789312.

It is not an unprimeable number, because it can be changed into a prime (3861915789311) 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, 121653762 + ... + 121685502.

It is an arithmetic number, because the mean of its divisors is an integer number (23656995180).

Almost surely, 2^{3861915789312} is an apocalyptic number.

3861915789312 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 3861915789312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6813214611840).

3861915789312 is an abundant number, since it is smaller than the sum of its proper divisors (9764513434368).

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

3861915789312 is a wasteful number, since it uses less digits than its factorization.

3861915789312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31840 (or 31817 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The spelling of 3861915789312 in words is "three trillion, eight hundred sixty-one billion, nine hundred fifteen million, seven hundred eighty-nine thousand, three hundred twelve".