3426152253040 has 160 divisors (see below), whose sum is σ = 8784867732480. Its totient is φ = 1232334259200.

The previous prime is 3426152253037. The next prime is 3426152253047. The reversal of 3426152253040 is 403522516243.

3426152253040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3426152253040² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3426152253047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33097042 + ... + 33200398.

It is an arithmetic number, because the mean of its divisors is an integer number (54905423328).

Almost surely, 2^{3426152253040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3426152253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392433866240).

3426152253040 is an abundant number, since it is smaller than the sum of its proper divisors (5358715479440).

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

3426152253040 is a wasteful number, since it uses less digits than its factorization.

3426152253040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103791 (or 103785 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 3426152253040 its reverse (403522516243), we get a palindrome (3829674769283).

The spelling of 3426152253040 in words is "three trillion, four hundred twenty-six billion, one hundred fifty-two million, two hundred fifty-three thousand, forty".