3363998040 has 160 divisors (see below), whose sum is σ = 12176675280. Its totient is φ = 828050688.

The previous prime is 3363998017. The next prime is 3363998041. The reversal of 3363998040 is 408993633.

3363998040 is a `hidden beast` number, since 3 + 3 + 639 + 9 + 8 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×3363998040² = 22632965626247683200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3363998041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2187 + ... + 82053.

Almost surely, 2^3363998040 is an apocalyptic number.

3363998040 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 3363998040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088337640).

3363998040 is an abundant number, since it is smaller than the sum of its proper divisors (8812677240).

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

3363998040 is a wasteful number, since it uses less digits than its factorization.

3363998040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79903 (or 79890 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3363998040 is about 57999.9831034458. The cubic root of 3363998040 is about 1498.3683056927.

The spelling of 3363998040 in words is "three billion, three hundred sixty-three million, nine hundred ninety-eight thousand, forty".