3465490277760 has 1024 divisors, whose sum is σ = 13854003609600. Its totient is φ = 721042145280.

The previous prime is 3465490277749. The next prime is 3465490277773. The reversal of 3465490277760 is 677720945643.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3465490277694 and 3465490277703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2046951474 + ... + 2046953166.

It is an arithmetic number, because the mean of its divisors is an integer number (13529300400).

Almost surely, 2^{3465490277760} is an apocalyptic number.

3465490277760 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 3465490277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6927001804800).

3465490277760 is an abundant number, since it is smaller than the sum of its proper divisors (10388513331840).

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

3465490277760 is a wasteful number, since it uses less digits than its factorization.

3465490277760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 60.

The spelling of 3465490277760 in words is "three trillion, four hundred sixty-five billion, four hundred ninety million, two hundred seventy-seven thousand, seven hundred sixty".