3396273753600 has 2880 divisors, whose sum is σ = 15824797148160. Its totient is φ = 706483814400.

The previous prime is 3396273753581. The next prime is 3396273753623. The reversal of 3396273753600 is 63573726933.

3396273753600 is a `hidden beast` number, since 3 + 3 + 9 + 6 + 27 + 3 + 7 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 47834841565 + ... + 47834841635.

It is an arithmetic number, because the mean of its divisors is an integer number (5494721232).

Almost surely, 2^{3396273753600} is an apocalyptic number.

3396273753600 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 3396273753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7912398574080).

3396273753600 is an abundant number, since it is smaller than the sum of its proper divisors (12428523394560).

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

3396273753600 is an frugal number, since it uses more digits than its factorization.

3396273753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 54.

The spelling of 3396273753600 in words is "three trillion, three hundred ninety-six billion, two hundred seventy-three million, seven hundred fifty-three thousand, six hundred".