3350823840 has 648 divisors, whose sum is σ = 14454737388. Its totient is φ = 704471040.

The previous prime is 3350823829. The next prime is 3350823841. The reversal of 3350823840 is 483280533.

It can be written as a sum of positive squares in 6 ways, for example, as 541399824 + 2809424016 = 23268^2 + 53004^2 .

It is a super-2 number, since 2×3350823840² = 22456040813424691200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3350823795 and 3350823804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3350823841) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11924500 + ... + 11924780.

Almost surely, 2^3350823840 is an apocalyptic number.

3350823840 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 3350823840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7227368694).

3350823840 is an abundant number, since it is smaller than the sum of its proper divisors (11103913548).

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

3350823840 is a wasteful number, since it uses less digits than its factorization.

3350823840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3350823840 is about 57886.3009700914. The cubic root of 3350823840 is about 1496.4097603086.

The spelling of 3350823840 in words is "three billion, three hundred fifty million, eight hundred twenty-three thousand, eight hundred forty".