3387171648 has 224 divisors, whose sum is σ = 11005312000. Its totient is φ = 916489728.

The previous prime is 3387171643. The next prime is 3387171673. The reversal of 3387171648 is 8461717833.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3387171648² = 22945863546030071808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 3387171597 and 3387171606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3387171643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1249911 + ... + 1252617.

Almost surely, 2^3387171648 is an apocalyptic number.

3387171648 is a gapful number since it is divisible by the number (38) 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 3387171648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5502656000).

3387171648 is an abundant number, since it is smaller than the sum of its proper divisors (7618140352).

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

3387171648 is a wasteful number, since it uses less digits than its factorization.

3387171648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2738 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 3387171648 is about 58199.4127805427. The cubic root of 3387171648 is about 1501.8010437399.

The spelling of 3387171648 in words is "three billion, three hundred eighty-seven million, one hundred seventy-one thousand, six hundred forty-eight".