3302397345600 has 420 divisors, whose sum is σ = 12172766205600. Its totient is φ = 878173885440.

The previous prime is 3302397345589. The next prime is 3302397345629. The reversal of 3302397345600 is 65437932033.

3302397345600 is a `hidden beast` number, since 3 + 3 + 0 + 2 + 3 + 9 + 7 + 34 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 46490911 + ... + 46561889.

It is an arithmetic number, because the mean of its divisors is an integer number (28982776680).

Almost surely, 2^{3302397345600} is an apocalyptic number.

3302397345600 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 3302397345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6086383102800).

3302397345600 is an abundant number, since it is smaller than the sum of its proper divisors (8870368860000).

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

3302397345600 is a wasteful number, since it uses less digits than its factorization.

3302397345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71372 (or 71348 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 45.

The spelling of 3302397345600 in words is "three trillion, three hundred two billion, three hundred ninety-seven million, three hundred forty-five thousand, six hundred".