3387073536 has 704 divisors, whose sum is σ = 13142722560. Its totient is φ = 836075520.

The previous prime is 3387073511. The next prime is 3387073537. The reversal of 3387073536 is 6353707833.

3387073536 is a `hidden beast` number, since 33 + 87 + 0 + 7 + 3 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×3387073536² = 22944534276543086592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3387073491 and 3387073500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3387073537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78769131 + ... + 78769173.

It is an arithmetic number, because the mean of its divisors is an integer number (18668640).

Almost surely, 2^3387073536 is an apocalyptic number.

3387073536 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 3387073536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6571361280).

3387073536 is an abundant number, since it is smaller than the sum of its proper divisors (9755649024).

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

3387073536 is a wasteful number, since it uses less digits than its factorization.

3387073536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The square root of 3387073536 is about 58198.5698793364. The cubic root of 3387073536 is about 1501.7865433305.

It can be divided in two parts, 338707 and 3536, that added together give a palindrome (342243).

The spelling of 3387073536 in words is "three billion, three hundred eighty-seven million, seventy-three thousand, five hundred thirty-six".