3480984000 has 336 divisors, whose sum is σ = 13413516480. Its totient is φ = 856627200.

The previous prime is 3480983981. The next prime is 3480984019. The reversal of 3480984000 is 4890843.

It is an interprime number because it is at equal distance from previous prime (3480983981) and next prime (3480984019).

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 47 ways as a sum of consecutive naturals, for example, 934141 + ... + 937859.

It is an arithmetic number, because the mean of its divisors is an integer number (39921180).

Almost surely, 2^3480984000 is an apocalyptic number.

3480984000 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 3480984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6706758240).

3480984000 is an abundant number, since it is smaller than the sum of its proper divisors (9932532480).

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

3480984000 is a wasteful number, since it uses less digits than its factorization.

3480984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3480984000 is about 58999.8644066239. The cubic root of 3480984000 is about 1515.5397873940.

The spelling of 3480984000 in words is "three billion, four hundred eighty million, nine hundred eighty-four thousand".