3338461728 has 216 divisors, whose sum is σ = 11625934320. Its totient is φ = 903571200.

The previous prime is 3338461727. The next prime is 3338461783. The reversal of 3338461728 is 8271648333.

3338461728 is a `hidden beast` number, since 3 + 3 + 3 + 8 + 4 + 617 + 28 = 666.

It is a super-2 number, since 2×3338461728² = 22290653418641491968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3338461727) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 261903 + ... + 274353.

It is an arithmetic number, because the mean of its divisors is an integer number (53823770).

Almost surely, 2^3338461728 is an apocalyptic number.

3338461728 is a gapful number since it is divisible by the number (38) 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 3338461728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812967160).

3338461728 is an abundant number, since it is smaller than the sum of its proper divisors (8287472592).

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

3338461728 is a wasteful number, since it uses less digits than its factorization.

3338461728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12500 (or 12482 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 3338461728 is about 57779.4230500790. The cubic root of 3338461728 is about 1494.5672700516.

The spelling of 3338461728 in words is "three billion, three hundred thirty-eight million, four hundred sixty-one thousand, seven hundred twenty-eight".