3820290048 has 272 divisors, whose sum is σ = 12079503360. Its totient is φ = 1189085184.

The previous prime is 3820290037. The next prime is 3820290091. The reversal of 3820290048 is 8400920283.

It is a tau number, because it is divible by the number of its divisors (272).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3820289994 and 3820290021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30080961 + ... + 30081087.

Almost surely, 2^3820290048 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 3820290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039751680).

3820290048 is an abundant number, since it is smaller than the sum of its proper divisors (8259213312).

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

3820290048 is an equidigital number, since it uses as much as digits as its factorization.

3820290048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3820290048 is about 61808.4949501280. The cubic root of 3820290048 is about 1563.2632283484.

The spelling of 3820290048 in words is "three billion, eight hundred twenty million, two hundred ninety thousand, forty-eight".