3397651660800 has 1296 divisors, whose sum is σ = 13417586032032. Its totient is φ = 849346560000.

The previous prime is 3397651660771. The next prime is 3397651660807. The reversal of 3397651660800 is 80661567933.

3397651660800 is a `hidden beast` number, since 33 + 97 + 6 + 516 + 6 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is not an unprimeable number, because it can be changed into a prime (3397651660807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13536460675 + ... + 13536460925.

It is an arithmetic number, because the mean of its divisors is an integer number (10353075642).

Almost surely, 2^{3397651660800} is an apocalyptic number.

3397651660800 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 3397651660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6708793016016).

3397651660800 is an abundant number, since it is smaller than the sum of its proper divisors (10019934371232).

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

3397651660800 is an frugal number, since it uses more digits than its factorization.

3397651660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3397651660800 in words is "three trillion, three hundred ninety-seven billion, six hundred fifty-one million, six hundred sixty thousand, eight hundred".