3483151408800 has 648 divisors, whose sum is σ = 14674056362784. Its totient is φ = 761527895040.

The previous prime is 3483151408799. The next prime is 3483151408829. The reversal of 3483151408800 is 88041513843.

3483151408800 is a `hidden beast` number, since 3 + 483 + 1 + 51 + 40 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26596279 + ... + 26726921.

It is an arithmetic number, because the mean of its divisors is an integer number (22645148708).

Almost surely, 2^{3483151408800} is an apocalyptic number.

3483151408800 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 3483151408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7337028181392).

3483151408800 is an abundant number, since it is smaller than the sum of its proper divisors (11190904953984).

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

3483151408800 is a wasteful number, since it uses less digits than its factorization.

3483151408800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130722 (or 130683 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 3483151408800 in words is "three trillion, four hundred eighty-three billion, one hundred fifty-one million, four hundred eight thousand, eight hundred".