3284981760 has 192 divisors, whose sum is σ = 10687753440. Its totient is φ = 861143040.

The previous prime is 3284981741. The next prime is 3284981797. The reversal of 3284981760 is 671894823.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3284981760² = 21582210327065395200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1873044 + ... + 1874796.

Almost surely, 2^3284981760 is an apocalyptic number.

3284981760 is a gapful number since it is divisible by the number (30) 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 3284981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343876720).

3284981760 is an abundant number, since it is smaller than the sum of its proper divisors (7402771680).

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

3284981760 is a wasteful number, since it uses less digits than its factorization.

3284981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 3284981760 is about 57314.7604025351. The cubic root of 3284981760 is about 1486.5436091198.

The spelling of 3284981760 in words is "three billion, two hundred eighty-four million, nine hundred eighty-one thousand, seven hundred sixty".