3338951040 has 192 divisors, whose sum is σ = 11842187760. Its totient is φ = 866267136.

The previous prime is 3338951023. The next prime is 3338951093. The reversal of 3338951040 is 401598333.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3338951040² = 22297188095034163200, 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 = 3338950986 and 3338951004.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 205287 + ... + 220953.

Almost surely, 2^3338951040 is an apocalyptic number.

3338951040 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 3338951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5921093880).

3338951040 is an abundant number, since it is smaller than the sum of its proper divisors (8503236720).

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

3338951040 is a wasteful number, since it uses less digits than its factorization.

3338951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15729 (or 15714 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3338951040 is about 57783.6572051302. The cubic root of 3338951040 is about 1494.6402851140.

The spelling of 3338951040 in words is "three billion, three hundred thirty-eight million, nine hundred fifty-one thousand, forty".