3480448487040 has 1536 divisors, whose sum is σ = 14993533900800. Its totient is φ = 769398497280.

The previous prime is 3480448487017. The next prime is 3480448487051. The reversal of 3480448487040 is 407848440843.

3480448487040 is a `hidden beast` number, since 3 + 4 + 80 + 4 + 48 + 487 + 0 + 40 = 666.

It is a super-2 number, since 2×3480448487040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2126113102 + ... + 2126114738.

It is an arithmetic number, because the mean of its divisors is an integer number (9761415300).

Almost surely, 2^{3480448487040} is an apocalyptic number.

3480448487040 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 3480448487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7496766950400).

3480448487040 is an abundant number, since it is smaller than the sum of its proper divisors (11513085413760).

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

3480448487040 is an equidigital number, since it uses as much as digits as its factorization.

3480448487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 54.

The spelling of 3480448487040 in words is "three trillion, four hundred eighty billion, four hundred forty-eight million, four hundred eighty-seven thousand, forty".