380070000 has 300 divisors, whose sum is σ = 1374797424. Its totient is φ = 97920000.

The previous prime is 380069993. The next prime is 380070001. The reversal of 380070000 is 70083.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380070001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3689949 + ... + 3690051.

Almost surely, 2^380070000 is an apocalyptic number.

380070000 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 380070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687398712).

380070000 is an abundant number, since it is smaller than the sum of its proper divisors (994727424).

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

380070000 is a wasteful number, since it uses less digits than its factorization.

380070000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 380070000 is about 19495.3840690559. The cubic root of 380070000 is about 724.3601171355.

The spelling of 380070000 in words is "three hundred eighty million, seventy thousand".