363878400000 has 720 divisors, whose sum is σ = 1277831213568. Its totient is φ = 91914240000.

The previous prime is 363878399981. The next prime is 363878400071. The reversal of 363878400000 is 4878363.

It is a congruent number.

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, 3532799949 + ... + 3532800051.

Almost surely, 2^363878400000 is an apocalyptic number.

363878400000 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 363878400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638915606784).

363878400000 is an abundant number, since it is smaller than the sum of its proper divisors (913952813568).

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

363878400000 is an frugal number, since it uses more digits than its factorization.

363878400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 363878400000 in words is "three hundred sixty-three billion, eight hundred seventy-eight million, four hundred thousand".