3422580480 has 360 divisors, whose sum is σ = 13364399664. Its totient is φ = 829440000.

The previous prime is 3422580463. The next prime is 3422580521. The reversal of 3422580480 is 840852243.

3422580480 is a `hidden beast` number, since 34 + 2 + 2 + 580 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

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, 1138980 + ... + 1141980.

Almost surely, 2^3422580480 is an apocalyptic number.

3422580480 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 3422580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6682199832).

3422580480 is an abundant number, since it is smaller than the sum of its proper divisors (9941819184).

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

3422580480 is a wasteful number, since it uses less digits than its factorization.

3422580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 3422580480 is about 58502.8245471960. The cubic root of 3422580480 is about 1507.0160918045.

The spelling of 3422580480 in words is "three billion, four hundred twenty-two million, five hundred eighty thousand, four hundred eighty".