3452926848000 has 2816 divisors, whose sum is σ = 15141548298240. Its totient is φ = 679477248000.

The previous prime is 3452926847999. The next prime is 3452926848001. The reversal of 3452926848000 is 8486292543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3452926847999) and next prime (3452926848001).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (3452926848001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35597183952 + ... + 35597184048.

Almost surely, 2^{3452926848000} is an apocalyptic number.

3452926848000 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 3452926848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7570774149120).

3452926848000 is an abundant number, since it is smaller than the sum of its proper divisors (11688621450240).

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

3452926848000 is a wasteful number, since it uses less digits than its factorization.

3452926848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 3452926848000 in words is "three trillion, four hundred fifty-two billion, nine hundred twenty-six million, eight hundred forty-eight thousand".