387109416 has 64 divisors (see below), whose sum is σ = 995025600. Its totient is φ = 125452800.

The previous prime is 387109409. The next prime is 387109447. The reversal of 387109416 is 614901783.

It is a super-2 number, since 2×387109416² = 299707399911722112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128811 + ... + 131781.

It is an arithmetic number, because the mean of its divisors is an integer number (15547275).

Almost surely, 2^387109416 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 387109416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497512800).

387109416 is an abundant number, since it is smaller than the sum of its proper divisors (607916184).

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

387109416 is a wasteful number, since it uses less digits than its factorization.

387109416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 387109416 is about 19675.0963402978. The cubic root of 387109416 is about 728.8048348458.

The spelling of 387109416 in words is "three hundred eighty-seven million, one hundred nine thousand, four hundred sixteen".