3385177920 has 280 divisors, whose sum is σ = 12244794408. Its totient is φ = 887500800.

The previous prime is 3385177919. The next prime is 3385177933. The reversal of 3385177920 is 297715833.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 303595776 + 3081582144 = 17424^2 + 55512^2 .

It is a super-2 number, since 2×3385177920² = 22918859100111052800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1580050 + ... + 1582190.

Almost surely, 2^3385177920 is an apocalyptic number.

3385177920 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 3385177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122397204).

3385177920 is an abundant number, since it is smaller than the sum of its proper divisors (8859616488).

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

3385177920 is a wasteful number, since it uses less digits than its factorization.

3385177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 3385177920 is about 58182.2818390616. The cubic root of 3385177920 is about 1501.5063268133.

The spelling of 3385177920 in words is "three billion, three hundred eighty-five million, one hundred seventy-seven thousand, nine hundred twenty".