3819480480 has 240 divisors, whose sum is σ = 13558938624. Its totient is φ = 1012538880.

The previous prime is 3819480451. The next prime is 3819480493. The reversal of 3819480480 is 840849183.

3819480480 is a `hidden beast` number, since 3 + 8 + 1 + 94 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3819480480² = 29176862274202060800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2474589 + ... + 2476131.

Almost surely, 2^3819480480 is an apocalyptic number.

3819480480 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 3819480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6779469312).

3819480480 is an abundant number, since it is smaller than the sum of its proper divisors (9739458144).

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

3819480480 is a wasteful number, since it uses less digits than its factorization.

3819480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 3819480480 is about 61801.9456004421. The cubic root of 3819480480 is about 1563.1527954339.

The spelling of 3819480480 in words is "three billion, eight hundred nineteen million, four hundred eighty thousand, four hundred eighty".