3270738240 has 840 divisors, whose sum is σ = 14650260768. Its totient is φ = 663828480.

The previous prime is 3270738227. The next prime is 3270738241. The reversal of 3270738240 is 428370723.

3270738240 is a `hidden beast` number, since 3 + 270 + 7 + 382 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3270738195 and 3270738204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3270738241) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 76063659 + ... + 76063701.

Almost surely, 2^3270738240 is an apocalyptic number.

3270738240 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 3270738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325130384).

3270738240 is an abundant number, since it is smaller than the sum of its proper divisors (11379522528).

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

3270738240 is a wasteful number, since it uses less digits than its factorization.

3270738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3270738240 is about 57190.3684198659. The cubic root of 3270738240 is about 1484.3919695582.

The spelling of 3270738240 in words is "three billion, two hundred seventy million, seven hundred thirty-eight thousand, two hundred forty".