3270401298000 has 640 divisors, whose sum is σ = 11929057920000. Its totient is φ = 856333209600.

The previous prime is 3270401297941. The next prime is 3270401298001. The reversal of 3270401298000 is 8921040723.

3270401298000 is a `hidden beast` number, since 327 + 0 + 40 + 1 + 298 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3270401298001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 716091717 + ... + 716096283.

It is an arithmetic number, because the mean of its divisors is an integer number (18639153000).

Almost surely, 2^{3270401298000} is an apocalyptic number.

3270401298000 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 3270401298000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5964528960000).

3270401298000 is an abundant number, since it is smaller than the sum of its proper divisors (8658656622000).

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

3270401298000 is a wasteful number, since it uses less digits than its factorization.

3270401298000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4837 (or 4815 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 3270401298000 in words is "three trillion, two hundred seventy billion, four hundred one million, two hundred ninety-eight thousand".