3816262954800 has 240 divisors, whose sum is σ = 13625930280480. Its totient is φ = 1014458895360.

The previous prime is 3816262954789. The next prime is 3816262954841. The reversal of 3816262954800 is 84592626183.

3816262954800 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 2 + 629 + 5 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2866254 + ... + 3980946.

It is an arithmetic number, because the mean of its divisors is an integer number (56774709502).

Almost surely, 2^{3816262954800} is an apocalyptic number.

3816262954800 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 3816262954800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812965140240).

3816262954800 is an abundant number, since it is smaller than the sum of its proper divisors (9809667325680).

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

3816262954800 is a wasteful number, since it uses less digits than its factorization.

3816262954800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115037 (or 1115020 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 3816262954800 in words is "three trillion, eight hundred sixteen billion, two hundred sixty-two million, nine hundred fifty-four thousand, eight hundred".