387196992 has 336 divisors, whose sum is σ = 1397934720. Its totient is φ = 99753984.

The previous prime is 387196967. The next prime is 387196993. The reversal of 387196992 is 299691783.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×387196992² = 299843021227696128, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (387196993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4350484 + ... + 4350572.

It is an arithmetic number, because the mean of its divisors is an integer number (4160520).

Almost surely, 2^387196992 is an apocalyptic number.

387196992 is a gapful number since it is divisible by the number (32) 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 387196992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698967360).

387196992 is an abundant number, since it is smaller than the sum of its proper divisors (1010737728).

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

387196992 is a wasteful number, since it uses less digits than its factorization.

387196992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 387196992 is about 19677.3217689807. The cubic root of 387196992 is about 728.8597900230.

The spelling of 387196992 in words is "three hundred eighty-seven million, one hundred ninety-six thousand, nine hundred ninety-two".