3781485400 has 288 divisors, whose sum is σ = 11443553280. Its totient is φ = 1127808000.

The previous prime is 3781485397. The next prime is 3781485401. The reversal of 3781485400 is 45841873.

3781485400 = 4066² + 4067² + ... + 4282².

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3781485401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42488556 + ... + 42488644.

It is an arithmetic number, because the mean of its divisors is an integer number (39734560).

Almost surely, 2^3781485400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3781485400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721776640).

3781485400 is an abundant number, since it is smaller than the sum of its proper divisors (7662067880).

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

3781485400 is a wasteful number, since it uses less digits than its factorization.

3781485400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 3781485400 is about 61493.7834256439. The cubic root of 3781485400 is about 1557.9522496204.

The spelling of 3781485400 in words is "three billion, seven hundred eighty-one million, four hundred eighty-five thousand, four hundred".