3400242001020 has 288 divisors, whose sum is σ = 11074779136512. Its totient is φ = 842233987584.

The previous prime is 3400242001019. The next prime is 3400242001027. The reversal of 3400242001020 is 201002420043.

3400242001020 is a `hidden beast` number, since 3 + 400 + 242 + 0 + 0 + 1 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3400242000984 and 3400242001002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400242001027) 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, 80091919 + ... + 80134361.

It is an arithmetic number, because the mean of its divisors is an integer number (38454094224).

Almost surely, 2^{3400242001020} is an apocalyptic number.

3400242001020 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 3400242001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537389568256).

3400242001020 is an abundant number, since it is smaller than the sum of its proper divisors (7674537135492).

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

3400242001020 is a wasteful number, since it uses less digits than its factorization.

3400242001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43041 (or 43036 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 3400242001020 its reverse (201002420043), we get a palindrome (3601244421063).

The spelling of 3400242001020 in words is "three trillion, four hundred billion, two hundred forty-two million, one thousand, twenty".