3781242000 has 400 divisors, whose sum is σ = 14472078192. Its totient is φ = 948326400.

The previous prime is 3781241969. The next prime is 3781242001. The reversal of 3781242000 is 2421873.

It can be written as a sum of positive squares in 8 ways, for example, as 53406864 + 3727835136 = 7308^2 + 61056^2 .

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3781242001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2753314 + ... + 2754686.

Almost surely, 2^3781242000 is an apocalyptic number.

3781242000 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 3781242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7236039096).

3781242000 is an abundant number, since it is smaller than the sum of its proper divisors (10690836192).

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

3781242000 is a wasteful number, since it uses less digits than its factorization.

3781242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3781242000 is about 61491.8043319596. The cubic root of 3781242000 is about 1557.9188223933.

Adding to 3781242000 its reverse (2421873), we get a palindrome (3783663873).

The spelling of 3781242000 in words is "three billion, seven hundred eighty-one million, two hundred forty-two thousand".