380993712 has 160 divisors (see below), whose sum is σ = 1133498880. Its totient is φ = 109148160.

The previous prime is 380993629. The next prime is 380993729. The reversal of 380993712 is 217399083.

380993712 = 4059² + 4060² + ... + 4081².

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1663614 + ... + 1663842.

It is an arithmetic number, because the mean of its divisors is an integer number (7084368).

Almost surely, 2^380993712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380993712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566749440).

380993712 is an abundant number, since it is smaller than the sum of its proper divisors (752505168).

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

380993712 is a wasteful number, since it uses less digits than its factorization.

380993712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 380993712 is about 19519.0602232792. The cubic root of 380993712 is about 724.9464642197.

The spelling of 380993712 in words is "three hundred eighty million, nine hundred ninety-three thousand, seven hundred twelve".