387748838400 has 3168 divisors, whose sum is σ = 1875078201600. Its totient is φ = 69363302400.

The previous prime is 387748838359. The next prime is 387748838401. The reversal of 387748838400 is 4838847783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387748838401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13370649586 + ... + 13370649614.

Almost surely, 2^387748838400 is an apocalyptic number.

387748838400 is a gapful number since it is divisible by the number (30) 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 387748838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937539100800).

387748838400 is an abundant number, since it is smaller than the sum of its proper divisors (1487329363200).

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

387748838400 is a wasteful number, since it uses less digits than its factorization.

387748838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 60.

The spelling of 387748838400 in words is "three hundred eighty-seven billion, seven hundred forty-eight million, eight hundred thirty-eight thousand, four hundred".