3425982480 has 400 divisors, whose sum is σ = 12583194624. Its totient is φ = 862202880.

The previous prime is 3425982463. The next prime is 3425982481. The reversal of 3425982480 is 842895243.

3425982480 is a `hidden beast` number, since 3 + 42 + 59 + 82 + 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 (3425982481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18927990 + ... + 18928170.

Almost surely, 2^3425982480 is an apocalyptic number.

3425982480 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 3425982480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291597312).

3425982480 is an abundant number, since it is smaller than the sum of its proper divisors (9157212144).

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

3425982480 is a wasteful number, since it uses less digits than its factorization.

3425982480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3425982480 is about 58531.8928448414. The cubic root of 3425982480 is about 1507.5152445180.

The spelling of 3425982480 in words is "three billion, four hundred twenty-five million, nine hundred eighty-two thousand, four hundred eighty".