3427669791000 has 1152 divisors, whose sum is σ = 14809360325760. Its totient is φ = 723074688000.

The previous prime is 3427669790947. The next prime is 3427669791011. The reversal of 3427669791000 is 1979667243.

It is a happy number.

3427669791000 is a `hidden beast` number, since 342 + 76 + 69 + 79 + 100 + 0 = 666.

It is a super-2 number, since 2×3427669791000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 597048130 + ... + 597053870.

It is an arithmetic number, because the mean of its divisors is an integer number (12855347505).

Almost surely, 2^{3427669791000} is an apocalyptic number.

3427669791000 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 3427669791000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7404680162880).

3427669791000 is an abundant number, since it is smaller than the sum of its proper divisors (11381690534760).

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

3427669791000 is an equidigital number, since it uses as much as digits as its factorization.

3427669791000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806 (or 5771 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 3427669791000 in words is "three trillion, four hundred twenty-seven billion, six hundred sixty-nine million, seven hundred ninety-one thousand".