385007616 has 180 divisors, whose sum is σ = 1274505232. Its totient is φ = 109707264.

The previous prime is 385007531. The next prime is 385007641. The reversal of 385007616 is 616700583.

385007616 is a `hidden beast` number, since 38 + 5 + 0 + 0 + 7 + 616 = 666.

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 11 ways as a sum of consecutive naturals, for example, 1032006 + ... + 1032378.

Almost surely, 2^385007616 is an apocalyptic number.

385007616 is a gapful number since it is divisible by the number (36) 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 385007616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637252616).

385007616 is an abundant number, since it is smaller than the sum of its proper divisors (889497616).

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

385007616 is an equidigital number, since it uses as much as digits as its factorization.

385007616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 385007616 is about 19621.6109430393. The cubic root of 385007616 is about 727.4834317975.

The spelling of 385007616 in words is "three hundred eighty-five million, seven thousand, six hundred sixteen".