3305727968400 has 2880 divisors, whose sum is σ = 14809302144000. Its totient is φ = 697077964800.

The previous prime is 3305727968381. The next prime is 3305727968419. The reversal of 3305727968400 is 48697275033.

3305727968400 is a `hidden beast` number, since 3 + 3 + 0 + 572 + 7 + 9 + 68 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3305727968381) and next prime (3305727968419).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 23782215531 + ... + 23782215669.

It is an arithmetic number, because the mean of its divisors is an integer number (5142118800).

Almost surely, 2^{3305727968400} is an apocalyptic number.

3305727968400 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 3305727968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7404651072000).

3305727968400 is an abundant number, since it is smaller than the sum of its proper divisors (11503574175600).

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

3305727968400 is a wasteful number, since it uses less digits than its factorization.

3305727968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 3305727968400 in words is "three trillion, three hundred five billion, seven hundred twenty-seven million, nine hundred sixty-eight thousand, four hundred".