387261450576 has 960 divisors, whose sum is σ = 1592573068800. Its totient is φ = 87369891840.

The previous prime is 387261450503. The next prime is 387261450613. The reversal of 387261450576 is 675054162783.

387261450576 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 6 + 14 + 50 + 576 = 666.

It is a super-2 number, since 2×387261450576² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80862390 + ... + 80867178.

It is an arithmetic number, because the mean of its divisors is an integer number (1658930280).

Almost surely, 2^387261450576 is an apocalyptic number.

387261450576 is a gapful number since it is divisible by the number (36) 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 387261450576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796286534400).

387261450576 is an abundant number, since it is smaller than the sum of its proper divisors (1205311618224).

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

387261450576 is a wasteful number, since it uses less digits than its factorization.

387261450576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4865 (or 4842 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 387261450576 in words is "three hundred eighty-seven billion, two hundred sixty-one million, four hundred fifty thousand, five hundred seventy-six".