3387548739456 has 896 divisors, whose sum is σ = 12028447512000. Its totient is φ = 949133832192.

The previous prime is 3387548739451. The next prime is 3387548739481. The reversal of 3387548739456 is 6549378457833.

3387548739456 is a `hidden beast` number, since 3 + 3 + 8 + 7 + 5 + 487 + 3 + 94 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×3387548739456² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3387548739451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1696317850 + ... + 1696319846.

Almost surely, 2^{3387548739456} is an apocalyptic number.

3387548739456 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 3387548739456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014223756000).

3387548739456 is an abundant number, since it is smaller than the sum of its proper divisors (8640898772544).

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

3387548739456 is an frugal number, since it uses more digits than its factorization.

3387548739456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2062 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 72.

The spelling of 3387548739456 in words is "three trillion, three hundred eighty-seven billion, five hundred forty-eight million, seven hundred thirty-nine thousand, four hundred fifty-six".