3363927840 has 768 divisors, whose sum is σ = 14902272000. Its totient is φ = 689762304.

The previous prime is 3363927829. The next prime is 3363927869. The reversal of 3363927840 is 487293633.

3363927840 is a `hidden beast` number, since 3 + 3 + 639 + 2 + 7 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×3363927840² = 22632021025454131200, 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 127 ways as a sum of consecutive naturals, for example, 16904061 + ... + 16904259.

It is an arithmetic number, because the mean of its divisors is an integer number (19404000).

Almost surely, 2^3363927840 is an apocalyptic number.

3363927840 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 3363927840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451136000).

3363927840 is an abundant number, since it is smaller than the sum of its proper divisors (11538344160).

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

3363927840 is a wasteful number, since it uses less digits than its factorization.

3363927840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3363927840 is about 57999.3779276985. The cubic root of 3363927840 is about 1498.3578829571.

The spelling of 3363927840 in words is "three billion, three hundred sixty-three million, nine hundred twenty-seven thousand, eight hundred forty".