380034720 has 384 divisors, whose sum is σ = 1468212480. Its totient is φ = 91238400.

The previous prime is 380034709. The next prime is 380034761. The reversal of 380034720 is 27430083.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3762670 + ... + 3762770.

It is an arithmetic number, because the mean of its divisors is an integer number (3823470).

Almost surely, 2^380034720 is an apocalyptic number.

380034720 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 380034720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734106240).

380034720 is an abundant number, since it is smaller than the sum of its proper divisors (1088177760).

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

380034720 is a wasteful number, since it uses less digits than its factorization.

380034720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 380034720 is about 19494.4792184864. The cubic root of 380034720 is about 724.3377035313.

The spelling of 380034720 in words is "three hundred eighty million, thirty-four thousand, seven hundred twenty".