3363002040 has 256 divisors, whose sum is σ = 10921236480. Its totient is φ = 826327040.

The previous prime is 3363002029. The next prime is 3363002077. The reversal of 3363002040 is 402003633.

3363002040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3363002040² = 22619565442088323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3363001998 and 3363002016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12786949 + ... + 12787211.

It is an arithmetic number, because the mean of its divisors is an integer number (42661080).

Almost surely, 2^3363002040 is an apocalyptic number.

3363002040 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 3363002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5460618240).

3363002040 is an abundant number, since it is smaller than the sum of its proper divisors (7558234440).

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

3363002040 is a wasteful number, since it uses less digits than its factorization.

3363002040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3363002040 is about 57991.3962584106. The cubic root of 3363002040 is about 1498.2204139951.

Adding to 3363002040 its reverse (402003633), we get a palindrome (3765005673).

The spelling of 3363002040 in words is "three billion, three hundred sixty-three million, two thousand, forty".