3798420480 has 528 divisors, whose sum is σ = 14163012864. Its totient is φ = 975421440.

The previous prime is 3798420469. The next prime is 3798420487. The reversal of 3798420480 is 840248973.

3798420480 is a `hidden beast` number, since 3 + 79 + 84 + 20 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3798420487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53498845 + ... + 53498915.

It is an arithmetic number, because the mean of its divisors is an integer number (26823888).

Almost surely, 2^3798420480 is an apocalyptic number.

3798420480 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 3798420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7081506432).

3798420480 is an abundant number, since it is smaller than the sum of its proper divisors (10364592384).

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

3798420480 is an equidigital number, since it uses as much as digits as its factorization.

3798420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3798420480 is about 61631.3270991304. The cubic root of 3798420480 is about 1560.2745079060.

The spelling of 3798420480 in words is "three billion, seven hundred ninety-eight million, four hundred twenty thousand, four hundred eighty".