3386502000 has 960 divisors, whose sum is σ = 15202836480. Its totient is φ = 705024000.

The previous prime is 3386501971. The next prime is 3386502011. The reversal of 3386502000 is 2056833.

3386502000 is a `hidden beast` number, since 3 + 3 + 8 + 650 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3386502000² = 22936791592008000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109241985 + ... + 109242015.

It is an arithmetic number, because the mean of its divisors is an integer number (15836288).

Almost surely, 2^3386502000 is an apocalyptic number.

3386502000 is a gapful number since it is divisible by the number (30) 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 3386502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7601418240).

3386502000 is an abundant number, since it is smaller than the sum of its proper divisors (11816334480).

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

3386502000 is a wasteful number, since it uses less digits than its factorization.

3386502000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3386502000 is about 58193.6594484313. The cubic root of 3386502000 is about 1501.7020679127.

Adding to 3386502000 its reverse (2056833), we get a palindrome (3388558833).

The spelling of 3386502000 in words is "three billion, three hundred eighty-six million, five hundred two thousand".