387375690240 has 960 divisors, whose sum is σ = 1698118456320. Its totient is φ = 79267921920.

The previous prime is 387375690223. The next prime is 387375690259. The reversal of 387375690240 is 42096573783.

387375690240 is a `hidden beast` number, since 3 + 8 + 7 + 37 + 569 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118861731 + ... + 118864989.

It is an arithmetic number, because the mean of its divisors is an integer number (1768873392).

Almost surely, 2^387375690240 is an apocalyptic number.

387375690240 is a gapful number since it is divisible by the number (30) 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 387375690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849059228160).

387375690240 is an abundant number, since it is smaller than the sum of its proper divisors (1310742766080).

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

387375690240 is a wasteful number, since it uses less digits than its factorization.

387375690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 387375690240 in words is "three hundred eighty-seven billion, three hundred seventy-five million, six hundred ninety thousand, two hundred forty".