3338793744 has 480 divisors, whose sum is σ = 11292991488. Its totient is φ = 838656000.

The previous prime is 3338793721. The next prime is 3338793763. The reversal of 3338793744 is 4473978333.

It is a super-2 number, since 2×3338793744² = 22295087329947075072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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, 47025229 + ... + 47025299.

Almost surely, 2^3338793744 is an apocalyptic number.

3338793744 is a gapful number since it is divisible by the number (34) 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 3338793744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646495744).

3338793744 is an abundant number, since it is smaller than the sum of its proper divisors (7954197744).

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

3338793744 is a wasteful number, since it uses less digits than its factorization.

3338793744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 51.

The square root of 3338793744 is about 57782.2961122176. The cubic root of 3338793744 is about 1494.6168142068.

The spelling of 3338793744 in words is "three billion, three hundred thirty-eight million, seven hundred ninety-three thousand, seven hundred forty-four".