387296000 has 432 divisors, whose sum is σ = 1272267360. Its totient is φ = 116121600.

The previous prime is 387295967. The next prime is 387296033. The reversal of 387296000 is 692783.

It is an interprime number because it is at equal distance from previous prime (387295967) and next prime (387296033).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20383991 + ... + 20384009.

Almost surely, 2^387296000 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 387296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636133680).

387296000 is an abundant number, since it is smaller than the sum of its proper divisors (884971360).

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

387296000 is a wasteful number, since it uses less digits than its factorization.

387296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 387296000 is about 19679.8373977022. The cubic root of 387296000 is about 728.9219089630.

The spelling of 387296000 in words is "three hundred eighty-seven million, two hundred ninety-six thousand".