3360020040 has 384 divisors, whose sum is σ = 12815712000. Its totient is φ = 755951616.

The previous prime is 3360020039. The next prime is 3360020047. The reversal of 3360020040 is 400200633.

3360020040 is a `hidden beast` number, since 3 + 3 + 600 + 20 + 0 + 40 = 666.

It is a super-2 number, since 2×3360020040² = 22579469338403203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3360019995 and 3360020022.

It is not an unprimeable number, because it can be changed into a prime (3360020047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2578029 + ... + 2579331.

It is an arithmetic number, because the mean of its divisors is an integer number (33374250).

Almost surely, 2^3360020040 is an apocalyptic number.

3360020040 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 3360020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6407856000).

3360020040 is an abundant number, since it is smaller than the sum of its proper divisors (9455691960).

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

3360020040 is a wasteful number, since it uses less digits than its factorization.

3360020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3360020040 is about 57965.6798459226. The cubic root of 3360020040 is about 1497.7774551561. Note that the first 3 decimals are identical.

Adding to 3360020040 its reverse (400200633), we get a palindrome (3760220673).

The spelling of 3360020040 in words is "three billion, three hundred sixty million, twenty thousand, forty".