3480713712 has 240 divisors, whose sum is σ = 11364986880. Its totient is φ = 974016000.

The previous prime is 3480713701. The next prime is 3480713713. The reversal of 3480713712 is 2173170843.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480713713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18223537 + ... + 18223727.

It is an arithmetic number, because the mean of its divisors is an integer number (47354112).

Almost surely, 2^3480713712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3480713712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5682493440).

3480713712 is an abundant number, since it is smaller than the sum of its proper divisors (7884273168).

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

3480713712 is a wasteful number, since it uses less digits than its factorization.

3480713712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3480713712 is about 58997.5737806225. The cubic root of 3480713712 is about 1515.5005606676.

The spelling of 3480713712 in words is "three billion, four hundred eighty million, seven hundred thirteen thousand, seven hundred twelve".