3328154040960 has 768 divisors, whose sum is σ = 13725905155200. Its totient is φ = 759930716160.

The previous prime is 3328154040943. The next prime is 3328154041001. The reversal of 3328154040960 is 690404518233.

3328154040960 is a `hidden beast` number, since 3 + 3 + 2 + 8 + 1 + 540 + 40 + 9 + 60 = 666.

It is a super-2 number, since 2×3328154040960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1314954895 + ... + 1314957425.

Almost surely, 2^{3328154040960} is an apocalyptic number.

3328154040960 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 3328154040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6862952577600).

3328154040960 is an abundant number, since it is smaller than the sum of its proper divisors (10397751114240).

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

3328154040960 is a wasteful number, since it uses less digits than its factorization.

3328154040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3328154040960 in words is "three trillion, three hundred twenty-eight billion, one hundred fifty-four million, forty thousand, nine hundred sixty".