3445120071360 has 1120 divisors, whose sum is σ = 14205023680320. Its totient is φ = 784517529600.

The previous prime is 3445120071329. The next prime is 3445120071391. The reversal of 3445120071360 is 631700215443.

3445120071360 is a `hidden beast` number, since 3 + 4 + 4 + 512 + 0 + 0 + 7 + 136 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3445120071329) and next prime (3445120071391).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 305928130 + ... + 305939390.

Almost surely, 2^{3445120071360} is an apocalyptic number.

3445120071360 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 3445120071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7102511840160).

3445120071360 is an abundant number, since it is smaller than the sum of its proper divisors (10759903608960).

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

3445120071360 is a wasteful number, since it uses less digits than its factorization.

3445120071360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11367 (or 11348 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 3445120071360 in words is "three trillion, four hundred forty-five billion, one hundred twenty million, seventy-one thousand, three hundred sixty".