3360795840 has 224 divisors, whose sum is σ = 12177735360. Its totient is φ = 871907328.

The previous prime is 3360795833. The next prime is 3360795853. The reversal of 3360795840 is 485970633.

3360795840 is a `hidden beast` number, since 3 + 3 + 60 + 7 + 9 + 584 + 0 = 666.

It is a super-2 number, since 2×3360795840² = 22589897356322611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314424 + ... + 324936.

It is an arithmetic number, because the mean of its divisors is an integer number (54364890).

Almost surely, 2^3360795840 is an apocalyptic number.

3360795840 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 3360795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088867680).

3360795840 is an abundant number, since it is smaller than the sum of its proper divisors (8816939520).

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

3360795840 is a wasteful number, since it uses less digits than its factorization.

3360795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10576 (or 10560 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3360795840 is about 57972.3713504976. The cubic root of 3360795840 is about 1497.8927209697.

The spelling of 3360795840 in words is "three billion, three hundred sixty million, seven hundred ninety-five thousand, eight hundred forty".