3483923251200 has 864 divisors, whose sum is σ = 13284182507904. Its totient is φ = 789200240640.

The previous prime is 3483923251199. The next prime is 3483923251261. The reversal of 3483923251200 is 21523293843.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13556121472 + ... + 13556121728.

It is an arithmetic number, because the mean of its divisors is an integer number (15375211236).

Almost surely, 2^{3483923251200} is an apocalyptic number.

3483923251200 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 3483923251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6642091253952).

3483923251200 is an abundant number, since it is smaller than the sum of its proper divisors (9800259256704).

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

3483923251200 is an equidigital number, since it uses as much as digits as its factorization.

3483923251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 3483923251200 in words is "three trillion, four hundred eighty-three billion, nine hundred twenty-three million, two hundred fifty-one thousand, two hundred".