3448406270340 has 216 divisors, whose sum is σ = 11149001194968. Its totient is φ = 862549171200.

The previous prime is 3448406270333. The next prime is 3448406270371. The reversal of 3448406270340 is 430726048443.

3448406270340 is a `hidden beast` number, since 3 + 4 + 484 + 0 + 62 + 70 + 3 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2234672193924 + 1213734076416 = 1494882^2 + 1101696^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6300264 + ... + 6825696.

It is an arithmetic number, because the mean of its divisors is an integer number (51615746273).

Almost surely, 2^{3448406270340} is an apocalyptic number.

3448406270340 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 3448406270340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574500597484).

3448406270340 is an abundant number, since it is smaller than the sum of its proper divisors (7700594924628).

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

3448406270340 is a wasteful number, since it uses less digits than its factorization.

3448406270340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525587 (or 525563 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 3448406270340 in words is "three trillion, four hundred forty-eight billion, four hundred six million, two hundred seventy thousand, three hundred forty".