3375240960 has 432 divisors, whose sum is σ = 13358145024. Its totient is φ = 711180288.

The previous prime is 3375240949. The next prime is 3375240983. The reversal of 3375240960 is 690425733.

It is a super-2 number, since 2×3375240960² = 22784503076123443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4542349 + ... + 4543091.

It is an arithmetic number, because the mean of its divisors is an integer number (30921632).

Almost surely, 2^3375240960 is an apocalyptic number.

3375240960 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 3375240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6679072512).

3375240960 is an abundant number, since it is smaller than the sum of its proper divisors (9982904064).

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

3375240960 is a wasteful number, since it uses less digits than its factorization.

3375240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 3375240960 is about 58096.8240095790. The cubic root of 3375240960 is about 1500.0356969283.

The spelling of 3375240960 in words is "three billion, three hundred seventy-five million, two hundred forty thousand, nine hundred sixty".