3380141520 has 240 divisors, whose sum is σ = 13239033600. Its totient is φ = 772547328.

The previous prime is 3380141503. The next prime is 3380141539. The reversal of 3380141520 is 251410833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3380141520² = 22850713390455820800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 240117 + ... + 253803.

It is an arithmetic number, because the mean of its divisors is an integer number (55162640).

Almost surely, 2^3380141520 is an apocalyptic number.

3380141520 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 3380141520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6619516800).

3380141520 is an abundant number, since it is smaller than the sum of its proper divisors (9858892080).

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

3380141520 is a wasteful number, since it uses less digits than its factorization.

3380141520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13727 (or 13704 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3380141520 is about 58138.9845112554. The cubic root of 3380141520 is about 1500.7613201957.

The spelling of 3380141520 in words is "three billion, three hundred eighty million, one hundred forty-one thousand, five hundred twenty".