3490195275360 has 336 divisors, whose sum is σ = 12377406351744. Its totient is φ = 929613459456.

The previous prime is 3490195275289. The next prime is 3490195275367. The reversal of 3490195275360 is 635725910943.

3490195275360 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 1 + 9 + 5 + 275 + 360 = 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 = 3490195275297 and 3490195275306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3490195275367) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 100642984 + ... + 100677656.

It is an arithmetic number, because the mean of its divisors is an integer number (36837518904).

Almost surely, 2^{3490195275360} is an apocalyptic number.

3490195275360 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 3490195275360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6188703175872).

3490195275360 is an abundant number, since it is smaller than the sum of its proper divisors (8887211076384).

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

3490195275360 is an equidigital number, since it uses as much as digits as its factorization.

3490195275360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35569 (or 35546 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 3490195275360 in words is "three trillion, four hundred ninety billion, one hundred ninety-five million, two hundred seventy-five thousand, three hundred sixty".