3385221840 has 1080 divisors, whose sum is σ = 15911184744. Its totient is φ = 638668800.

The previous prime is 3385221787. The next prime is 3385221899. The reversal of 3385221840 is 481225833.

It can be written as a sum of positive squares in 4 ways, for example, as 103306896 + 3281914944 = 10164^2 + 57288^2 .

It is a super-2 number, since 2×3385221840² = 22919453812025971200, 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 = 3385221795 and 3385221804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 55495410 + ... + 55495470.

Almost surely, 2^3385221840 is an apocalyptic number.

3385221840 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 3385221840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7955592372).

3385221840 is an abundant number, since it is smaller than the sum of its proper divisors (12525962904).

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

3385221840 is a wasteful number, since it uses less digits than its factorization.

3385221840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3385221840 is about 58182.6592723296. The cubic root of 3385221840 is about 1501.5128204034.

The spelling of 3385221840 in words is "three billion, three hundred eighty-five million, two hundred twenty-one thousand, eight hundred forty".