3413657233800 has 384 divisors, whose sum is σ = 13502189376000. Its totient is φ = 783997574400.

The previous prime is 3413657233799. The next prime is 3413657233801. The reversal of 3413657233800 is 83327563143.

3413657233800 is a `hidden beast` number, since 3 + 41 + 3 + 6 + 572 + 3 + 38 + 0 + 0 = 666.

3413657233800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3413657233799) and next prime (3413657233801).

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

It is not an unprimeable number, because it can be changed into a prime (3413657233801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383742 + ... + 2640941.

It is an arithmetic number, because the mean of its divisors is an integer number (35161951500).

Almost surely, 2^{3413657233800} is an apocalyptic number.

3413657233800 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 3413657233800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751094688000).

3413657233800 is an abundant number, since it is smaller than the sum of its proper divisors (10088532142200).

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

3413657233800 is a wasteful number, since it uses less digits than its factorization.

3413657233800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024738 (or 3024723 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3413657233800 in words is "three trillion, four hundred thirteen billion, six hundred fifty-seven million, two hundred thirty-three thousand, eight hundred".