3362945197248 has 896 divisors, whose sum is σ = 12730812272640. Its totient is φ = 846108426240.

The previous prime is 3362945197243. The next prime is 3362945197253. The reversal of 3362945197248 is 8427915492633.

3362945197248 is a `hidden beast` number, since 3 + 3 + 6 + 2 + 9 + 4 + 519 + 72 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (3362945197243) and next prime (3362945197253).

It is a super-3 number, since 3×3362945197248³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3362945197243) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1667299536 + ... + 1667301552.

It is an arithmetic number, because the mean of its divisors is an integer number (14208495840).

Almost surely, 2^{3362945197248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3362945197248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6365406136320).

3362945197248 is an abundant number, since it is smaller than the sum of its proper divisors (9367867075392).

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

3362945197248 is a wasteful number, since it uses less digits than its factorization.

3362945197248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2526 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 3362945197248 in words is "three trillion, three hundred sixty-two billion, nine hundred forty-five million, one hundred ninety-seven thousand, two hundred forty-eight".