3270723456 has 512 divisors, whose sum is σ = 11932139520. Its totient is φ = 766402560.

The previous prime is 3270723431. The next prime is 3270723457. The reversal of 3270723456 is 6543270723.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3270723457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25753665 + ... + 25753791.

It is an arithmetic number, because the mean of its divisors is an integer number (23304960).

Almost surely, 2^3270723456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3270723456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5966069760).

3270723456 is an abundant number, since it is smaller than the sum of its proper divisors (8661416064).

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

3270723456 is a wasteful number, since it uses less digits than its factorization.

3270723456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 39.

The square root of 3270723456 is about 57190.2391671866. The cubic root of 3270723456 is about 1484.3897330311.

The spelling of 3270723456 in words is "three billion, two hundred seventy million, seven hundred twenty-three thousand, four hundred fifty-six".