3377576820 has 96 divisors (see below), whose sum is σ = 9763383168. Its totient is φ = 871782912.

The previous prime is 3377576801. The next prime is 3377576831. The reversal of 3377576820 is 286757733.

It is a super-2 number, since 2×3377576820² = 22816050350002624800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3377576820.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433479 + ... + 441201.

It is an arithmetic number, because the mean of its divisors is an integer number (101701908).

Almost surely, 2^3377576820 is an apocalyptic number.

3377576820 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 3377576820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881691584).

3377576820 is an abundant number, since it is smaller than the sum of its proper divisors (6385806348).

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

3377576820 is a wasteful number, since it uses less digits than its factorization.

3377576820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7969 (or 7967 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The square root of 3377576820 is about 58116.9236969749. The cubic root of 3377576820 is about 1500.3816539964.

The spelling of 3377576820 in words is "three billion, three hundred seventy-seven million, five hundred seventy-six thousand, eight hundred twenty".