3399794399232 has 2304 divisors, whose sum is σ = 13737185280000. Its totient is φ = 799845580800.

The previous prime is 3399794399207. The next prime is 3399794399237. The reversal of 3399794399232 is 2329934979933.

3399794399232 is a `hidden beast` number, since 3 + 3 + 9 + 9 + 79 + 439 + 92 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3399794399237) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40961378263 + ... + 40961378345.

It is an arithmetic number, because the mean of its divisors is an integer number (5962320000).

Almost surely, 2^{3399794399232} is an apocalyptic number.

3399794399232 is a gapful number since it is divisible by the number (32) 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 3399794399232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868592640000).

3399794399232 is an abundant number, since it is smaller than the sum of its proper divisors (10337390880768).

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

3399794399232 is a wasteful number, since it uses less digits than its factorization.

3399794399232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 156 counting only the distinct ones).

The product of its digits is 535692528, while the sum is 72.

The spelling of 3399794399232 in words is "three trillion, three hundred ninety-nine billion, seven hundred ninety-four million, three hundred ninety-nine thousand, two hundred thirty-two".