381501900 has 180 divisors, whose sum is σ = 1332175152. Its totient is φ = 93882240.

The previous prime is 381501881. The next prime is 381501907. The reversal of 381501900 is 9105183.

381501900 = T₅₅₁₂ + T₅₅₁₃ + ... + T₅₅₃₆.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×381501900² = 291087399407220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (381501907) 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, 103489 + ... + 107111.

Almost surely, 2^381501900 is an apocalyptic number.

381501900 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 381501900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666087576).

381501900 is an abundant number, since it is smaller than the sum of its proper divisors (950673252).

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

381501900 is a wasteful number, since it uses less digits than its factorization.

381501900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 381501900 is about 19532.0736226341. The cubic root of 381501900 is about 725.2686440027.

The spelling of 381501900 in words is "three hundred eighty-one million, five hundred one thousand, nine hundred".