3270672493920 has 576 divisors, whose sum is σ = 12481245504000. Its totient is φ = 779094650880.

The previous prime is 3270672493919. The next prime is 3270672493937. The reversal of 3270672493920 is 293942760723.

3270672493920 is a `hidden beast` number, since 3 + 2 + 7 + 0 + 6 + 7 + 249 + 392 + 0 = 666.

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, 98057406 + ... + 98090754.

It is an arithmetic number, because the mean of its divisors is an integer number (21668829000).

Almost surely, 2^{3270672493920} is an apocalyptic number.

3270672493920 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 3270672493920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6240622752000).

3270672493920 is an abundant number, since it is smaller than the sum of its proper divisors (9210573010080).

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

3270672493920 is a wasteful number, since it uses less digits than its factorization.

3270672493920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33440 (or 33403 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 3270672493920 in words is "three trillion, two hundred seventy billion, six hundred seventy-two million, four hundred ninety-three thousand, nine hundred twenty".