387009342720 has 2592 divisors, whose sum is σ = 1895169459456. Its totient is φ = 73574645760.

The previous prime is 387009342683. The next prime is 387009342743. The reversal of 387009342720 is 27243900783.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3424861384 + ... + 3424861496.

Almost surely, 2^387009342720 is an apocalyptic number.

387009342720 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 387009342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947584729728).

387009342720 is an abundant number, since it is smaller than the sum of its proper divisors (1508160116736).

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

387009342720 is a wasteful number, since it uses less digits than its factorization.

387009342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 387009342720 in words is "three hundred eighty-seven billion, nine million, three hundred forty-two thousand, seven hundred twenty".