3387553416 has 192 divisors, whose sum is σ = 10707016320. Its totient is φ = 958003200.

The previous prime is 3387553397. The next prime is 3387553447. The reversal of 3387553416 is 6143557833.

3387553416 is a `hidden beast` number, since 3 + 3 + 87 + 553 + 4 + 16 = 666.

It is a super-2 number, since 2×3387553416² = 22951036292506538112, which contains 22 as substring.

It is an unprimeable number.

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, 681741 + ... + 686691.

It is an arithmetic number, because the mean of its divisors is an integer number (55765710).

Almost surely, 2^3387553416 is an apocalyptic number.

3387553416 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 3387553416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353508160).

3387553416 is an abundant number, since it is smaller than the sum of its proper divisors (7319462904).

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

3387553416 is a wasteful number, since it uses less digits than its factorization.

3387553416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5029 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 3387553416 is about 58202.6925150375. The cubic root of 3387553416 is about 1501.8574642682.

It can be divided in two parts, 33 and 87553416, that added together give a square (87553449 = 9357²).

The spelling of 3387553416 in words is "three billion, three hundred eighty-seven million, five hundred fifty-three thousand, four hundred sixteen".