380434806000 has 400 divisors, whose sum is σ = 1455002097120. Its totient is φ = 95480985600.

The previous prime is 380434805953. The next prime is 380434806041. The reversal of 380434806000 is 608434083.

380434806000 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 3 + 48 + 0 + 600 + 0 = 666.

380434806000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 2684931 + ... + 2823069.

Almost surely, 2^380434806000 is an apocalyptic number.

380434806000 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 380434806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727501048560).

380434806000 is an abundant number, since it is smaller than the sum of its proper divisors (1074567291120).

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

380434806000 is a wasteful number, since it uses less digits than its factorization.

380434806000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138191 (or 138166 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 380434806000 in words is "three hundred eighty billion, four hundred thirty-four million, eight hundred six thousand".