3480084384 has 96 divisors (see below), whose sum is σ = 10989780480. Its totient is φ = 941974272.

The previous prime is 3480084373. The next prime is 3480084389. The reversal of 3480084384 is 4834800843.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3480084384² = 24221974639521318912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3480084389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123514 + ... + 149049.

It is an arithmetic number, because the mean of its divisors is an integer number (114476880).

Almost surely, 2^3480084384 is an apocalyptic number.

It is an amenable number.

3480084384 is an abundant number, since it is smaller than the sum of its proper divisors (7509696096).

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

3480084384 is a wasteful number, since it uses less digits than its factorization.

3480084384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272602 (or 272594 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 3480084384 is about 58992.2400320585. The cubic root of 3480084384 is about 1515.4092188239.

The spelling of 3480084384 in words is "three billion, four hundred eighty million, eighty-four thousand, three hundred eighty-four".