387618308100 has 81 divisors (see below), whose sum is σ = 1215026599423. Its totient is φ = 103359901440.

The previous prime is 387618308089. The next prime is 387618308107. The reversal of 387618308100 is 1803816783.

The square root of 387618308100 is 622590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 43030523844 + 344587784256 = 207438^2 + 587016^2 .

It is a super-2 number, since 2×387618308100² (a number of 24 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (387618308107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18667324 + ... + 18688076.

Almost surely, 2^387618308100 is an apocalyptic number.

387618308100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

387618308100 is the 622590-th square number.

It is an amenable number.

387618308100 is an abundant number, since it is smaller than the sum of its proper divisors (827408291323).

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

387618308100 is an equidigital number, since it uses as much as digits as its factorization.

387618308100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41526 (or 20763 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 387618308100 in words is "three hundred eighty-seven billion, six hundred eighteen million, three hundred eight thousand, one hundred".