3484241280 has 768 divisors, whose sum is σ = 14257152000. Its totient is φ = 776355840.

The previous prime is 3484241251. The next prime is 3484241297. The reversal of 3484241280 is 821424843.

3484241280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3484241280³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44104281 + ... + 44104359.

It is an arithmetic number, because the mean of its divisors is an integer number (18564000).

Almost surely, 2^3484241280 is an apocalyptic number.

3484241280 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 3484241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7128576000).

3484241280 is an abundant number, since it is smaller than the sum of its proper divisors (10772910720).

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

3484241280 is a wasteful number, since it uses less digits than its factorization.

3484241280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 3484241280 is about 59027.4620833388. The cubic root of 3484241280 is about 1516.0123547748.

The spelling of 3484241280 in words is "three billion, four hundred eighty-four million, two hundred forty-one thousand, two hundred eighty".