3986431517250 has 768 divisors, whose sum is σ = 13896804579840. Its totient is φ = 838252800000.

The previous prime is 3986431517249. The next prime is 3986431517293. The reversal of 3986431517250 is 527151346893.

It is a happy number.

3986431517250 is a `hidden beast` number, since 3 + 9 + 8 + 64 + 315 + 17 + 250 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1423215850 + ... + 1423218650.

It is an arithmetic number, because the mean of its divisors is an integer number (18094797630).

It is a 1-persistent number, because it is pandigital, but 2⋅3986431517250 = 7972863034500 is not.

Almost surely, 2^{3986431517250} is an apocalyptic number.

3986431517250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3986431517250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6948402289920).

3986431517250 is an abundant number, since it is smaller than the sum of its proper divisors (9910373062590).

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

3986431517250 is a wasteful number, since it uses less digits than its factorization.

3986431517250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 3986431517250 in words is "three trillion, nine hundred eighty-six billion, four hundred thirty-one million, five hundred seventeen thousand, two hundred fifty".