3674220134400 has 1080 divisors, whose sum is σ = 13844841373440. Its totient is φ = 963158999040.

The previous prime is 3674220134369. The next prime is 3674220134401. The reversal of 3674220134400 is 44310224763.

3674220134400 is a `hidden beast` number, since 3 + 6 + 7 + 4 + 2 + 201 + 3 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3674220134401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 28930867137 + ... + 28930867263.

It is an arithmetic number, because the mean of its divisors is an integer number (12819297568).

Almost surely, 2^{3674220134400} is an apocalyptic number.

3674220134400 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 3674220134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6922420686720).

3674220134400 is an abundant number, since it is smaller than the sum of its proper divisors (10170621239040).

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

3674220134400 is an equidigital number, since it uses as much as digits as its factorization.

3674220134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 3674220134400 in words is "three trillion, six hundred seventy-four billion, two hundred twenty million, one hundred thirty-four thousand, four hundred".