3465828277920 has 288 divisors, whose sum is σ = 11858506942464. Its totient is φ = 921773260800.

The previous prime is 3465828277871. The next prime is 3465828277937. The reversal of 3465828277920 is 297728285643.

3465828277920 is a `hidden beast` number, since 3 + 4 + 6 + 582 + 8 + 27 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1336608144 + ... + 1336610736.

It is an arithmetic number, because the mean of its divisors is an integer number (41175371328).

Almost surely, 2^{3465828277920} is an apocalyptic number.

3465828277920 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 3465828277920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929253471232).

3465828277920 is an abundant number, since it is smaller than the sum of its proper divisors (8392678664544).

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

3465828277920 is a wasteful number, since it uses less digits than its factorization.

3465828277920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 3465828277920 in words is "three trillion, four hundred sixty-five billion, eight hundred twenty-eight million, two hundred seventy-seven thousand, nine hundred twenty".