387838145772 has 432 divisors, whose sum is σ = 1302244070400. Its totient is φ = 95001984000.

The previous prime is 387838145767. The next prime is 387838145803. The reversal of 387838145772 is 277541838783.

387838145772 is a `hidden beast` number, since 3 + 87 + 8 + 38 + 1 + 457 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 138462772 + ... + 138465572.

Almost surely, 2^387838145772 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 387838145772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651122035200).

387838145772 is an abundant number, since it is smaller than the sum of its proper divisors (914405924628).

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

387838145772 is a wasteful number, since it uses less digits than its factorization.

387838145772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3082 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

The spelling of 387838145772 in words is "three hundred eighty-seven billion, eight hundred thirty-eight million, one hundred forty-five thousand, seven hundred seventy-two".