3483778540800 has 216 divisors, whose sum is σ = 11764574387104. Its totient is φ = 907402567680.

The previous prime is 3483778540741. The next prime is 3483778540817. The reversal of 3483778540800 is 80458773843.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1284247 + ... + 2935446.

Almost surely, 2^{3483778540800} is an apocalyptic number.

3483778540800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3483778540800 is an abundant number, since it is smaller than the sum of its proper divisors (8280795846304).

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

3483778540800 is a wasteful number, since it uses less digits than its factorization.

3483778540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4219765 (or 4219746 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 57.

The spelling of 3483778540800 in words is "three trillion, four hundred eighty-three billion, seven hundred seventy-eight million, five hundred forty thousand, eight hundred".