387468457376 has 576 divisors, whose sum is σ = 1121933352960. Its totient is φ = 127688140800.

The previous prime is 387468457331. The next prime is 387468457379. The reversal of 387468457376 is 673754864783.

It is a super-2 number, since 2×387468457376² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (387468457379) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207534395 + ... + 207536261.

It is an arithmetic number, because the mean of its divisors is an integer number (1947800960).

Almost surely, 2^387468457376 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 387468457376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560966676480).

387468457376 is an abundant number, since it is smaller than the sum of its proper divisors (734464895584).

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

387468457376 is a wasteful number, since it uses less digits than its factorization.

387468457376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1950 counting only the distinct ones).

The product of its digits is 568995840, while the sum is 68.

The spelling of 387468457376 in words is "three hundred eighty-seven billion, four hundred sixty-eight million, four hundred fifty-seven thousand, three hundred seventy-six".