3341257920 has 1344 divisors, whose sum is σ = 16508943360. Its totient is φ = 597196800.

The previous prime is 3341257883. The next prime is 3341257951. The reversal of 3341257920 is 297521433.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×3341257920² = 22328008975925452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54774690 + ... + 54774750.

It is an arithmetic number, because the mean of its divisors is an integer number (12283440).

Almost surely, 2^3341257920 is an apocalyptic number.

3341257920 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 3341257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8254471680).

3341257920 is an abundant number, since it is smaller than the sum of its proper divisors (13167685440).

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

3341257920 is a wasteful number, since it uses less digits than its factorization.

3341257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3341257920 is about 57803.6151118596. The cubic root of 3341257920 is about 1494.9844213393.

The spelling of 3341257920 in words is "three billion, three hundred forty-one million, two hundred fifty-seven thousand, nine hundred twenty".