387972096 has 264 divisors, whose sum is σ = 1206583680. Its totient is φ = 110297088.

The previous prime is 387972061. The next prime is 387972097. The reversal of 387972096 is 690279783.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387972097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16868341 + ... + 16868363.

Almost surely, 2^387972096 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 387972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603291840).

387972096 is an abundant number, since it is smaller than the sum of its proper divisors (818611584).

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

387972096 is a wasteful number, since it uses less digits than its factorization.

387972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 387972096 is about 19697.0072853721. The cubic root of 387972096 is about 729.3458178897.

The spelling of 387972096 in words is "three hundred eighty-seven million, nine hundred seventy-two thousand, ninety-six".