3445363132512 has 192 divisors, whose sum is σ = 10545309057024. Its totient is φ = 964617730560.

The previous prime is 3445363132507. The next prime is 3445363132553. The reversal of 3445363132512 is 2152313635443.

It is a super-2 number, since 2×3445363132512² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8399263 + ... + 8799905.

It is an arithmetic number, because the mean of its divisors is an integer number (54923484672).

Almost surely, 2^{3445363132512} is an apocalyptic number.

3445363132512 is a gapful number since it is divisible by the number (32) 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 3445363132512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272654528512).

3445363132512 is an abundant number, since it is smaller than the sum of its proper divisors (7099945924512).

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

3445363132512 is a wasteful number, since it uses less digits than its factorization.

3445363132512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400921 (or 400913 counting only the distinct ones).

The product of its digits is 777600, while the sum is 42.

Adding to 3445363132512 its reverse (2152313635443), we get a palindrome (5597676767955).

The spelling of 3445363132512 in words is "three trillion, four hundred forty-five billion, three hundred sixty-three million, one hundred thirty-two thousand, five hundred twelve".