330348862272 has 896 divisors, whose sum is σ = 1140468940800. Its totient is φ = 83098828800.

The previous prime is 330348862229. The next prime is 330348862411. The reversal of 330348862272 is 272268843033.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4181631129 + ... + 4181631207.

It is an arithmetic number, because the mean of its divisors is an integer number (1272844800).

Almost surely, 2^330348862272 is an apocalyptic number.

330348862272 is a gapful number since it is divisible by the number (32) 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 330348862272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570234470400).

330348862272 is an abundant number, since it is smaller than the sum of its proper divisors (810120078528).

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

330348862272 is a wasteful number, since it uses less digits than its factorization.

330348862272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 330348862272 in words is "three hundred thirty billion, three hundred forty-eight million, eight hundred sixty-two thousand, two hundred seventy-two".