3386810385 has 96 divisors (see below), whose sum is σ = 6975072000. Its totient is φ = 1487420928.

The previous prime is 3386810381. The next prime is 3386810417. The reversal of 3386810385 is 5830186833.

It is not a de Polignac number, because 3386810385 - 2² = 3386810381 is a prime.

It is a super-2 number, since 2×3386810385² = 22940969167887696450, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3386810385.

It is not an unprimeable number, because it can be changed into a prime (3386810381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2091106 + ... + 2092724.

It is an arithmetic number, because the mean of its divisors is an integer number (72657000).

Almost surely, 2^3386810385 is an apocalyptic number.

3386810385 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3386810385 is an abundant number, since it is smaller than the sum of its proper divisors (3588261615).

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

3386810385 is a wasteful number, since it uses less digits than its factorization.

3386810385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3386810385 is about 58196.3090324464. The cubic root of 3386810385 is about 1501.7476496896.

It can be divided in two parts, 33868 and 10385, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 3386810385 in words is "three billion, three hundred eighty-six million, eight hundred ten thousand, three hundred eighty-five".