387574118400 has 576 divisors, whose sum is σ = 1485219939840. Its totient is φ = 87323443200.

The previous prime is 387574118377. The next prime is 387574118423. The reversal of 387574118400 is 4811475783.

It is an interprime number because it is at equal distance from previous prime (387574118377) and next prime (387574118423).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 387574118400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76336662 + ... + 76341738.

It is an arithmetic number, because the mean of its divisors is an integer number (2578506840).

Almost surely, 2^387574118400 is an apocalyptic number.

387574118400 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 387574118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742609969920).

387574118400 is an abundant number, since it is smaller than the sum of its proper divisors (1097645821440).

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

387574118400 is a wasteful number, since it uses less digits than its factorization.

387574118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190 (or 5165 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 387574118400 in words is "three hundred eighty-seven billion, five hundred seventy-four million, one hundred eighteen thousand, four hundred".