378811510200 has 144 divisors (see below), whose sum is σ = 1275822639000. Its totient is φ = 100726790400.

The previous prime is 378811510183. The next prime is 378811510237. The reversal of 378811510200 is 2015118873.

378811510200 is a `hidden beast` number, since 37 + 88 + 11 + 510 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 326695 + ... + 929705.

Almost surely, 2^378811510200 is an apocalyptic number.

378811510200 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 378811510200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637911319500).

378811510200 is an abundant number, since it is smaller than the sum of its proper divisors (897011128800).

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

378811510200 is a wasteful number, since it uses less digits than its factorization.

378811510200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603382 (or 603370 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 378811510200 in words is "three hundred seventy-eight billion, eight hundred eleven million, five hundred ten thousand, two hundred".