3377881920 has 224 divisors, whose sum is σ = 12296851200. Its totient is φ = 769572864.

The previous prime is 3377881891. The next prime is 3377881931. The reversal of 3377881920 is 291887733.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3377881920² = 22820172530925772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3377881920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2747866 + ... + 2749094.

Almost surely, 2^3377881920 is an apocalyptic number.

3377881920 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 3377881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148425600).

3377881920 is an abundant number, since it is smaller than the sum of its proper divisors (8918969280).

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

3377881920 is a wasteful number, since it uses less digits than its factorization.

3377881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 3377881920 is about 58119.5485185492. The cubic root of 3377881920 is about 1500.4268296439.

The spelling of 3377881920 in words is "three billion, three hundred seventy-seven million, eight hundred eighty-one thousand, nine hundred twenty".