387546343430400 has 4860 divisors, whose sum is σ = 1940232589486884. Its totient is φ = 75781885132800.

The previous prime is 387546343430387. The next prime is 387546343430429. The reversal of 387546343430400 is 4034343645783.

387546343430400 is a `hidden beast` number, since 3 + 8 + 7 + 546 + 34 + 34 + 30 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11891241863424 + 375655101566976 = 3448368^2 + 19381824^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 52251087492 + ... + 52251094908.

Almost surely, 2^{387546343430400} is an apocalyptic number.

387546343430400 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 387546343430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970116294743442).

387546343430400 is an abundant number, since it is smaller than the sum of its proper divisors (1552686246056484).

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

387546343430400 is a wasteful number, since it uses less digits than its factorization.

387546343430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7508 (or 7462 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 54.

The spelling of 387546343430400 in words is "three hundred eighty-seven trillion, five hundred forty-six billion, three hundred forty-three million, four hundred thirty thousand, four hundred".