375809280 has 576 divisors, whose sum is σ = 1582350336. Its totient is φ = 73728000.

The previous prime is 375809279. The next prime is 375809281. The reversal of 375809280 is 82908573.

It is an interprime number because it is at equal distance from previous prime (375809279) and next prime (375809281).

It is a super-2 number, since 2×375809280² = 282465229868236800, which contains 22 as substring.

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 a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (375809281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9166060 + ... + 9166100.

It is an arithmetic number, because the mean of its divisors is an integer number (2747136).

Almost surely, 2^375809280 is an apocalyptic number.

375809280 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 375809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791175168).

375809280 is an abundant number, since it is smaller than the sum of its proper divisors (1206541056).

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

375809280 is a wasteful number, since it uses less digits than its factorization.

375809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 375809280 is about 19385.8009893840. The cubic root of 375809280 is about 721.6431607591.

The spelling of 375809280 in words is "three hundred seventy-five million, eight hundred nine thousand, two hundred eighty".