3400636095360 has 1152 divisors, whose sum is σ = 14208593667840. Its totient is φ = 746460610560.

The previous prime is 3400636095313. The next prime is 3400636095403. The reversal of 3400636095360 is 635906360043.

3400636095360 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 6 + 3 + 609 + 5 + 36 + 0 = 666.

3400636095360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1198671862 + ... + 1198674698.

It is an arithmetic number, because the mean of its divisors is an integer number (12333848670).

Almost surely, 2^{3400636095360} is an apocalyptic number.

3400636095360 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 3400636095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7104296833920).

3400636095360 is an abundant number, since it is smaller than the sum of its proper divisors (10807957572480).

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

3400636095360 is a wasteful number, since it uses less digits than its factorization.

3400636095360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 3400636095360 in words is "three trillion, four hundred billion, six hundred thirty-six million, ninety-five thousand, three hundred sixty".