3448838736 has 360 divisors, whose sum is σ = 11942714784. Its totient is φ = 960180480.

The previous prime is 3448838719. The next prime is 3448838741. The reversal of 3448838736 is 6378388443.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

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 71 ways as a sum of consecutive naturals, for example, 8191806 + ... + 8192226.

Almost surely, 2^3448838736 is an apocalyptic number.

3448838736 is a gapful number since it is divisible by the number (36) 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 3448838736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971357392).

3448838736 is an abundant number, since it is smaller than the sum of its proper divisors (8493876048).

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

3448838736 is a wasteful number, since it uses less digits than its factorization.

3448838736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 476 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 3448838736 is about 58726.8144547276. The cubic root of 3448838736 is about 1510.8602521834.

The spelling of 3448838736 in words is "three billion, four hundred forty-eight million, eight hundred thirty-eight thousand, seven hundred thirty-six".