3865135430772 has 144 divisors (see below), whose sum is σ = 12204968630400. Its totient is φ = 1001958554880.

The previous prime is 3865135430771. The next prime is 3865135430777. The reversal of 3865135430772 is 2770345315683.

3865135430772 is a `hidden beast` number, since 3 + 8 + 6 + 5 + 135 + 430 + 7 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3865135430771) 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, 41254 + ... + 2780642.

It is an arithmetic number, because the mean of its divisors is an integer number (84756726600).

Almost surely, 2^{3865135430772} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3865135430772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102484315200).

3865135430772 is an abundant number, since it is smaller than the sum of its proper divisors (8339833199628).

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

3865135430772 is a wasteful number, since it uses less digits than its factorization.

3865135430772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739926 (or 2739921 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 3865135430772 in words is "three trillion, eight hundred sixty-five billion, one hundred thirty-five million, four hundred thirty thousand, seven hundred seventy-two".