3309792198240 has 384 divisors, whose sum is σ = 12084452674560. Its totient is φ = 755169484800.

The previous prime is 3309792198233. The next prime is 3309792198299. The reversal of 3309792198240 is 428912979033.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25876845 + ... + 26004435.

It is an arithmetic number, because the mean of its divisors is an integer number (31469928840).

Almost surely, 2^{3309792198240} is an apocalyptic number.

3309792198240 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 3309792198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6042226337280).

3309792198240 is an abundant number, since it is smaller than the sum of its proper divisors (8774660476320).

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

3309792198240 is a wasteful number, since it uses less digits than its factorization.

3309792198240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127671 (or 127629 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 3309792198240 in words is "three trillion, three hundred nine billion, seven hundred ninety-two million, one hundred ninety-eight thousand, two hundred forty".