3381497760 has 96 divisors (see below), whose sum is σ = 10733228352. Its totient is φ = 894832640.

The previous prime is 3381497753. The next prime is 3381497783. The reversal of 3381497760 is 677941833.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×3381497760³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35992 + ... + 89768.

It is an arithmetic number, because the mean of its divisors is an integer number (111804462).

Almost surely, 2^3381497760 is an apocalyptic number.

3381497760 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 3381497760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366614176).

3381497760 is an abundant number, since it is smaller than the sum of its proper divisors (7351730592).

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

3381497760 is a wasteful number, since it uses less digits than its factorization.

3381497760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53926 (or 53918 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 3381497760 is about 58150.6471159178. The cubic root of 3381497760 is about 1500.9620139986.

The spelling of 3381497760 in words is "three billion, three hundred eighty-one million, four hundred ninety-seven thousand, seven hundred sixty".