3267979956720 has 240 divisors, whose sum is σ = 11094484407552. Its totient is φ = 862020956160.

The previous prime is 3267979956701. The next prime is 3267979956721. The reversal of 3267979956720 is 276599797623.

3267979956720 is a `hidden beast` number, since 32 + 6 + 7 + 9 + 7 + 9 + 9 + 567 + 20 = 666.

3267979956720 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3267979956721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25143100 + ... + 25272740.

Almost surely, 2^{3267979956720} is an apocalyptic number.

3267979956720 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 3267979956720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547242203776).

3267979956720 is an abundant number, since it is smaller than the sum of its proper divisors (7826504450832).

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

3267979956720 is a wasteful number, since it uses less digits than its factorization.

3267979956720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130040 (or 130031 counting only the distinct ones).

The product of its (nonzero) digits is 540101520, while the sum is 72.

The spelling of 3267979956720 in words is "three trillion, two hundred sixty-seven billion, nine hundred seventy-nine million, nine hundred fifty-six thousand, seven hundred twenty".