387181080 has 512 divisors, whose sum is σ = 1596672000. Its totient is φ = 82114560.

The previous prime is 387181079. The next prime is 387181097. The reversal of 387181080 is 80181783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3552066 + ... + 3552174.

It is an arithmetic number, because the mean of its divisors is an integer number (3118500).

Almost surely, 2^387181080 is an apocalyptic number.

387181080 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 387181080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798336000).

387181080 is an abundant number, since it is smaller than the sum of its proper divisors (1209490920).

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

387181080 is a wasteful number, since it uses less digits than its factorization.

387181080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 387181080 is about 19676.9174415100. The cubic root of 387181080 is about 728.8498056343.

The spelling of 387181080 in words is "three hundred eighty-seven million, one hundred eighty-one thousand, eighty".