3348203040 has 960 divisors, whose sum is σ = 15490911744. Its totient is φ = 660897792.

The previous prime is 3348203039. The next prime is 3348203063. The reversal of 3348203040 is 403028433.

3348203040 is a `hidden beast` number, since 334 + 8 + 20 + 304 + 0 = 666.

It is a super-2 number, since 2×3348203040² = 22420927194130483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3348202995 and 3348203013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20049037 + ... + 20049203.

Almost surely, 2^3348203040 is an apocalyptic number.

3348203040 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 3348203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7745455872).

3348203040 is an abundant number, since it is smaller than the sum of its proper divisors (12142708704).

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

3348203040 is a wasteful number, since it uses less digits than its factorization.

3348203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3348203040 is about 57863.6590616252. The cubic root of 3348203040 is about 1496.0195265641.

The spelling of 3348203040 in words is "three billion, three hundred forty-eight million, two hundred three thousand, forty".