3399747197760 has 1792 divisors, whose sum is σ = 14032192204800. Its totient is φ = 769189478400.

The previous prime is 3399747197729. The next prime is 3399747197789. The reversal of 3399747197760 is 677917479933.

3399747197760 is a `hidden beast` number, since 3 + 3 + 9 + 9 + 7 + 471 + 97 + 7 + 60 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4920039015 + ... + 4920039705.

It is an arithmetic number, because the mean of its divisors is an integer number (7830464400).

Almost surely, 2^{3399747197760} is an apocalyptic number.

3399747197760 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 3399747197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7016096102400).

3399747197760 is an abundant number, since it is smaller than the sum of its proper divisors (10632445007040).

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

3399747197760 is a wasteful number, since it uses less digits than its factorization.

3399747197760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 378071064, while the sum is 72.

The spelling of 3399747197760 in words is "three trillion, three hundred ninety-nine billion, seven hundred forty-seven million, one hundred ninety-seven thousand, seven hundred sixty".