3446797536 has 288 divisors, whose sum is σ = 12513166848. Its totient is φ = 908858880.

The previous prime is 3446797469. The next prime is 3446797537. The reversal of 3446797536 is 6357976443.

It is a happy number.

3446797536 is a `hidden beast` number, since 3 + 44 + 67 + 9 + 7 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×3446797536³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3446797537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705181 + ... + 710051.

It is an arithmetic number, because the mean of its divisors is an integer number (43448496).

Almost surely, 2^3446797536 is an apocalyptic number.

3446797536 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 3446797536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6256583424).

3446797536 is an abundant number, since it is smaller than the sum of its proper divisors (9066369312).

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

3446797536 is a wasteful number, since it uses less digits than its factorization.

3446797536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916 (or 4896 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The square root of 3446797536 is about 58709.4331091691. The cubic root of 3446797536 is about 1510.5621251132.

The spelling of 3446797536 in words is "three billion, four hundred forty-six million, seven hundred ninety-seven thousand, five hundred thirty-six".