3480920008960 has 72 divisors (see below), whose sum is σ = 8341463108160. Its totient is φ = 1391771523072.

The previous prime is 3480920008939. The next prime is 3480920008961. The reversal of 3480920008960 is 698000290843.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3480920008961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2412589 + ... + 3575251.

It is an arithmetic number, because the mean of its divisors is an integer number (115853654280).

Almost surely, 2^{3480920008960} 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 3480920008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170731554080).

3480920008960 is an abundant number, since it is smaller than the sum of its proper divisors (4860543099200).

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

3480920008960 is a wasteful number, since it uses less digits than its factorization.

3480920008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165023 (or 1165009 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The spelling of 3480920008960 in words is "three trillion, four hundred eighty billion, nine hundred twenty million, eight thousand, nine hundred sixty".