3467737728 has 384 divisors, whose sum is σ = 12935395200. Its totient is φ = 865935360.

The previous prime is 3467737703. The next prime is 3467737733. The reversal of 3467737728 is 8277377643.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1990938 + ... + 1992678.

It is an arithmetic number, because the mean of its divisors is an integer number (33685925).

Almost surely, 2^3467737728 is an apocalyptic number.

3467737728 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 3467737728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6467697600).

3467737728 is an abundant number, since it is smaller than the sum of its proper divisors (9467657472).

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

3467737728 is a wasteful number, since it uses less digits than its factorization.

3467737728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1785 counting only the distinct ones).

The product of its digits is 8297856, while the sum is 54.

The square root of 3467737728 is about 58887.5006092125. The cubic root of 3467737728 is about 1513.6149704935.

The spelling of 3467737728 in words is "three billion, four hundred sixty-seven million, seven hundred thirty-seven thousand, seven hundred twenty-eight".