3273770465280 has 1152 divisors, whose sum is σ = 13453937602560. Its totient is φ = 720458219520.

The previous prime is 3273770465221. The next prime is 3273770465293. The reversal of 3273770465280 is 825640773723.

3273770465280 is a `hidden beast` number, since 3 + 2 + 7 + 3 + 7 + 70 + 46 + 528 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6259599099 + ... + 6259599621.

It is an arithmetic number, because the mean of its divisors is an integer number (11678765280).

Almost surely, 2^{3273770465280} is an apocalyptic number.

3273770465280 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 3273770465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726968801280).

3273770465280 is an abundant number, since it is smaller than the sum of its proper divisors (10180167137280).

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

3273770465280 is a wasteful number, since it uses less digits than its factorization.

3273770465280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 3273770465280 in words is "three trillion, two hundred seventy-three billion, seven hundred seventy million, four hundred sixty-five thousand, two hundred eighty".