381509700 has 144 divisors (see below), whose sum is σ = 1296958656. Its totient is φ = 85363200.

The previous prime is 381509693. The next prime is 381509719. The reversal of 381509700 is 7905183.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38454 + ... + 47346.

Almost surely, 2^381509700 is an apocalyptic number.

381509700 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 381509700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648479328).

381509700 is an abundant number, since it is smaller than the sum of its proper divisors (915448956).

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

381509700 is a wasteful number, since it uses less digits than its factorization.

381509700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8934 (or 8927 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 381509700 is about 19532.2732931935. The cubic root of 381509700 is about 725.2735867975.

The spelling of 381509700 in words is "three hundred eighty-one million, five hundred nine thousand, seven hundred".