3448347240960 has 800 divisors, whose sum is σ = 12788190074880. Its totient is φ = 887410556928.

The previous prime is 3448347240959. The next prime is 3448347240977. The reversal of 3448347240960 is 690427438443.

3448347240960 is a `hidden beast` number, since 3 + 4 + 4 + 83 + 472 + 4 + 0 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3448347240897 and 3448347240906.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 974382871 + ... + 974386409.

Almost surely, 2^{3448347240960} is an apocalyptic number.

3448347240960 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 3448347240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6394095037440).

3448347240960 is an abundant number, since it is smaller than the sum of its proper divisors (9339842833920).

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

3448347240960 is a wasteful number, since it uses less digits than its factorization.

3448347240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 3448347240960 in words is "three trillion, four hundred forty-eight billion, three hundred forty-seven million, two hundred forty thousand, nine hundred sixty".