3285937670400 has 3456 divisors, whose sum is σ = 16204962816000. Its totient is φ = 630639820800.

The previous prime is 3285937670381. The next prime is 3285937670437. The reversal of 3285937670400 is 40767395823.

3285937670400 is a `hidden beast` number, since 3 + 2 + 8 + 593 + 7 + 6 + 7 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16512249501 + ... + 16512249699.

It is an arithmetic number, because the mean of its divisors is an integer number (4688936000).

Almost surely, 2^{3285937670400} is an apocalyptic number.

3285937670400 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 3285937670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8102481408000).

3285937670400 is an abundant number, since it is smaller than the sum of its proper divisors (12919025145600).

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

3285937670400 is a wasteful number, since it uses less digits than its factorization.

3285937670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 317 counting only the distinct ones).

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

The spelling of 3285937670400 in words is "three trillion, two hundred eighty-five billion, nine hundred thirty-seven million, six hundred seventy thousand, four hundred".