3490645155840 has 1008 divisors, whose sum is σ = 13001192305920. Its totient is φ = 898661744640.

The previous prime is 3490645155821. The next prime is 3490645155841. The reversal of 3490645155840 is 485515460943.

3490645155840 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 6 + 4 + 51 + 5 + 584 + 0 = 666.

It is a super-2 number, since 2×3490645155840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3490645155841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8330895151 + ... + 8330895569.

It is an arithmetic number, because the mean of its divisors is an integer number (12898008240).

Almost surely, 2^{3490645155840} is an apocalyptic number.

3490645155840 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 3490645155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6500596152960).

3490645155840 is an abundant number, since it is smaller than the sum of its proper divisors (9510547150080).

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

3490645155840 is an frugal number, since it uses more digits than its factorization.

3490645155840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 3490645155840 in words is "three trillion, four hundred ninety billion, six hundred forty-five million, one hundred fifty-five thousand, eight hundred forty".