3832980480 has 704 divisors, whose sum is σ = 16554170880. Its totient is φ = 821035008.

The previous prime is 3832980469. The next prime is 3832980491. The reversal of 3832980480 is 840892383.

3832980480 is a `hidden beast` number, since 3 + 83 + 2 + 98 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (3832980469) and next prime (3832980491).

It is a super-2 number, since 2×3832980480² = 29383478720122060800, 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 63 ways as a sum of consecutive naturals, for example, 16450444 + ... + 16450676.

Almost surely, 2^3832980480 is an apocalyptic number.

3832980480 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 3832980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8277085440).

3832980480 is an abundant number, since it is smaller than the sum of its proper divisors (12721190400).

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

3832980480 is a wasteful number, since it uses less digits than its factorization.

3832980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3832980480 is about 61911.0691233805. The cubic root of 3832980480 is about 1564.9922907207.

The spelling of 3832980480 in words is "three billion, eight hundred thirty-two million, nine hundred eighty thousand, four hundred eighty".