387833083344 has 320 divisors, whose sum is σ = 1329946624000. Its totient is φ = 105875527680.

The previous prime is 387833083331. The next prime is 387833083409. The reversal of 387833083344 is 443380338783.

It is a super-2 number, since 2×387833083344² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7379592 + ... + 7431960.

It is an arithmetic number, because the mean of its divisors is an integer number (4156083200).

Almost surely, 2^387833083344 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 387833083344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664973312000).

387833083344 is an abundant number, since it is smaller than the sum of its proper divisors (942113540656).

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

387833083344 is a wasteful number, since it uses less digits than its factorization.

387833083344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52503 (or 52491 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 387833083344 in words is "three hundred eighty-seven billion, eight hundred thirty-three million, eighty-three thousand, three hundred forty-four".