3781607424 has 240 divisors, whose sum is σ = 11953401600. Its totient is φ = 1040449536.

The previous prime is 3781607387. The next prime is 3781607429. The reversal of 3781607424 is 4247061873.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3781607429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9977667 + ... + 9978045.

It is an arithmetic number, because the mean of its divisors is an integer number (49805840).

Almost surely, 2^3781607424 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 3781607424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976700800).

3781607424 is an abundant number, since it is smaller than the sum of its proper divisors (8171794176).

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

3781607424 is an equidigital number, since it uses as much as digits as its factorization.

3781607424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 3781607424 is about 61494.7755829713. The cubic root of 3781607424 is about 1557.9690071906.

The spelling of 3781607424 in words is "three billion, seven hundred eighty-one million, six hundred seven thousand, four hundred twenty-four".