3401596270080 has 960 divisors, whose sum is σ = 13150206957888. Its totient is φ = 839579074560.

The previous prime is 3401596269983. The next prime is 3401596270087. The reversal of 3401596270080 is 800726951043.

3401596270080 is a `hidden beast` number, since 3 + 4 + 0 + 15 + 9 + 627 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401596270087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 645094324 + ... + 645099596.

It is a 1-persistent number, because it is pandigital, but 2⋅3401596270080 = 6803192540160 is not.

Almost surely, 2^{3401596270080} is an apocalyptic number.

3401596270080 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 3401596270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6575103478944).

3401596270080 is an abundant number, since it is smaller than the sum of its proper divisors (9748610687808).

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

3401596270080 is an equidigital number, since it uses as much as digits as its factorization.

3401596270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5389 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 3401596270080 in words is "three trillion, four hundred one billion, five hundred ninety-six million, two hundred seventy thousand, eighty".