380759040 has 132 divisors (see below), whose sum is σ = 1319479824. Its totient is φ = 101523456.

The previous prime is 380759003. The next prime is 380759051. The reversal of 380759040 is 40957083.

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 = 380758986 and 380759004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41949 + ... + 50211.

Almost surely, 2^380759040 is an apocalyptic number.

380759040 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 380759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659739912).

380759040 is an abundant number, since it is smaller than the sum of its proper divisors (938720784).

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

380759040 is a wasteful number, since it uses less digits than its factorization.

380759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8294 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 380759040 is about 19513.0479423385. The cubic root of 380759040 is about 724.7975907409.

The spelling of 380759040 in words is "three hundred eighty million, seven hundred fifty-nine thousand, forty".