3820074048 has 420 divisors, whose sum is σ = 13596721600. Its totient is φ = 1038749184.

The previous prime is 3820074047. The next prime is 3820074053. The reversal of 3820074048 is 8404700283.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3820074043) 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, 19196253 + ... + 19196451.

Almost surely, 2^3820074048 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 3820074048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6798360800).

3820074048 is an abundant number, since it is smaller than the sum of its proper divisors (9776647552).

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

3820074048 is a wasteful number, since it uses less digits than its factorization.

3820074048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3820074048 is about 61806.7475927993. The cubic root of 3820074048 is about 1563.2337653829.

The spelling of 3820074048 in words is "three billion, eight hundred twenty million, seventy-four thousand, forty-eight".