3396674736000 has 2560 divisors, whose sum is σ = 15758929105920. Its totient is φ = 705986150400.

The previous prime is 3396674735999. The next prime is 3396674736053. The reversal of 3396674736000 is 6374766933.

3396674736000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 319 ways as a sum of consecutive naturals, for example, 9788687827 + ... + 9788688173.

It is an arithmetic number, because the mean of its divisors is an integer number (6155831682).

Almost surely, 2^{3396674736000} is an apocalyptic number.

3396674736000 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 3396674736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7879464552960).

3396674736000 is an abundant number, since it is smaller than the sum of its proper divisors (12362254369920).

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

3396674736000 is a wasteful number, since it uses less digits than its factorization.

3396674736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 54.

The spelling of 3396674736000 in words is "three trillion, three hundred ninety-six billion, six hundred seventy-four million, seven hundred thirty-six thousand".