3216774240 has 144 divisors (see below), whose sum is σ = 10991989008. Its totient is φ = 856654848.

The previous prime is 3216774203. The next prime is 3216774247. The reversal of 3216774240 is 424776123.

3216774240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3216774240² = 20695273022255155200, which contains 22 as substring.

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 = 3216774195 and 3216774204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3216774247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1976307 + ... + 1977933.

It is an arithmetic number, because the mean of its divisors is an integer number (76333257).

Almost surely, 2^3216774240 is an apocalyptic number.

3216774240 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 3216774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5495994504).

3216774240 is an abundant number, since it is smaller than the sum of its proper divisors (7775214768).

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

3216774240 is a wasteful number, since it uses less digits than its factorization.

3216774240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021 (or 3010 counting only the distinct ones).

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

The square root of 3216774240 is about 56716.6134390974. The cubic root of 3216774240 is about 1476.1829812585.

The spelling of 3216774240 in words is "three billion, two hundred sixteen million, seven hundred seventy-four thousand, two hundred forty".