385032690 has 240 divisors, whose sum is σ = 1229045400. Its totient is φ = 86220288.

The previous prime is 385032689. The next prime is 385032691. The reversal of 385032690 is 96230583.

385032690 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (385032689) and next prime (385032691).

It can be written as a sum of positive squares in 4 ways, for example, as 287200809 + 97831881 = 16947^2 + 9891^2 .

It is a super-2 number, since 2×385032690² = 296500344737272200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (385032691) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3532356 + ... + 3532464.

Almost surely, 2^385032690 is an apocalyptic number.

385032690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 385032690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614522700).

385032690 is an abundant number, since it is smaller than the sum of its proper divisors (844012710).

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

385032690 is a wasteful number, since it uses less digits than its factorization.

385032690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 385032690 is about 19622.2498710010. The cubic root of 385032690 is about 727.4992241463.

The spelling of 385032690 in words is "three hundred eighty-five million, thirty-two thousand, six hundred ninety".