3352728828960 has 288 divisors, whose sum is σ = 13844798577792. Its totient is φ = 721259274240.

The previous prime is 3352728828937. The next prime is 3352728828961. The reversal of 3352728828960 is 698288272533.

3352728828960 is a `hidden beast` number, since 3 + 3 + 5 + 272 + 88 + 289 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3352728828960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3352728828961) 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, 9611346 + ... + 9954065.

It is an arithmetic number, because the mean of its divisors is an integer number (48072217284).

Almost surely, 2^{3352728828960} is an apocalyptic number.

3352728828960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3352728828960 is an abundant number, since it is smaller than the sum of its proper divisors (10492069748832).

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

3352728828960 is a wasteful number, since it uses less digits than its factorization.

3352728828960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19565456 (or 19565445 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 3352728828960 in words is "three trillion, three hundred fifty-two billion, seven hundred twenty-eight million, eight hundred twenty-eight thousand, nine hundred sixty".