380751840 has 288 divisors, whose sum is σ = 1541030400. Its totient is φ = 86966784.

The previous prime is 380751823. The next prime is 380751853. The reversal of 380751840 is 48157083.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 380751795 and 380751804.

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, 271461 + ... + 272859.

It is an arithmetic number, because the mean of its divisors is an integer number (5350800).

Almost surely, 2^380751840 is an apocalyptic number.

380751840 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 380751840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770515200).

380751840 is an abundant number, since it is smaller than the sum of its proper divisors (1160278560).

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

380751840 is a wasteful number, since it uses less digits than its factorization.

380751840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 380751840 is about 19512.8634495299. The cubic root of 380751840 is about 724.7930221687.

The spelling of 380751840 in words is "three hundred eighty million, seven hundred fifty-one thousand, eight hundred forty".