3337961880 has 128 divisors (see below), whose sum is σ = 10961153280. Its totient is φ = 806469120.

The previous prime is 3337961843. The next prime is 3337961881. The reversal of 3337961880 is 881697333.

It is a super-2 number, since 2×3337961880² = 22283979024666268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3337961881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401122 + ... + 409358.

It is an arithmetic number, because the mean of its divisors is an integer number (85634010).

Almost surely, 2^3337961880 is an apocalyptic number.

3337961880 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 3337961880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480576640).

3337961880 is an abundant number, since it is smaller than the sum of its proper divisors (7623191400).

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

3337961880 is a wasteful number, since it uses less digits than its factorization.

3337961880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8569 (or 8565 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 3337961880 is about 57775.0974036392. The cubic root of 3337961880 is about 1494.4926754420.

It can be divided in two parts, 33379 and 61880, that added together give a palindrome (95259).

The spelling of 3337961880 in words is "three billion, three hundred thirty-seven million, nine hundred sixty-one thousand, eight hundred eighty".