3987192553344 has 2816 divisors, whose sum is σ = 17484905410560. Its totient is φ = 870712934400.

The previous prime is 3987192553321. The next prime is 3987192553363. The reversal of 3987192553344 is 4433552917893.

3987192553344 is a `hidden beast` number, since 3 + 9 + 8 + 7 + 1 + 92 + 5 + 533 + 4 + 4 = 666.

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

Its product of digits (97977600) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 351 ways as a sum of consecutive naturals, for example, 128619114609 + ... + 128619114639.

Almost surely, 2^{3987192553344} is an apocalyptic number.

3987192553344 is a gapful number since it is divisible by the number (34) 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 3987192553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8742452705280).

3987192553344 is an abundant number, since it is smaller than the sum of its proper divisors (13497712857216).

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

3987192553344 is a wasteful number, since it uses less digits than its factorization.

3987192553344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 3987192553344 in words is "three trillion, nine hundred eighty-seven billion, one hundred ninety-two million, five hundred fifty-three thousand, three hundred forty-four".