3367578240 has 640 divisors, whose sum is σ = 13684809600. Its totient is φ = 782327808.

The previous prime is 3367578233. The next prime is 3367578241. The reversal of 3367578240 is 428757633.

3367578240 is a `hidden beast` number, since 3 + 36 + 7 + 578 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3367578240² = 22681166405042995200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3367578241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12804349 + ... + 12804611.

It is an arithmetic number, because the mean of its divisors is an integer number (21382515).

Almost surely, 2^3367578240 is an apocalyptic number.

3367578240 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 3367578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6842404800).

3367578240 is an abundant number, since it is smaller than the sum of its proper divisors (10317231360).

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

3367578240 is a wasteful number, since it uses less digits than its factorization.

3367578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3367578240 is about 58030.8386980578. The cubic root of 3367578240 is about 1498.8996730511.

The spelling of 3367578240 in words is "three billion, three hundred sixty-seven million, five hundred seventy-eight thousand, two hundred forty".