3318971040 has 576 divisors, whose sum is σ = 14520280320. Its totient is φ = 670187520.

The previous prime is 3318971023. The next prime is 3318971057. The reversal of 3318971040 is 401798133.

It is a happy number.

3318971040 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 an interprime number because it is at equal distance from previous prime (3318971023) and next prime (3318971057).

It is a super-2 number, since 2×3318971040² = 22031137528717363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3318970986 and 3318971004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4102156 + ... + 4102964.

It is an arithmetic number, because the mean of its divisors is an integer number (25208820).

Almost surely, 2^3318971040 is an apocalyptic number.

3318971040 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 3318971040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7260140160).

3318971040 is an abundant number, since it is smaller than the sum of its proper divisors (11201309280).

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

3318971040 is a wasteful number, since it uses less digits than its factorization.

3318971040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3318971040 is about 57610.5115408638. The cubic root of 3318971040 is about 1491.6530517919.

The spelling of 3318971040 in words is "three billion, three hundred eighteen million, nine hundred seventy-one thousand, forty".