3442380480 has 1008 divisors, whose sum is σ = 15942161664. Its totient is φ = 661893120.

The previous prime is 3442380463. The next prime is 3442380497. The reversal of 3442380480 is 840832443.

3442380480 is a `hidden beast` number, since 344 + 238 + 0 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3442380463) and next prime (3442380497).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80055339 + ... + 80055381.

Almost surely, 2^3442380480 is an apocalyptic number.

3442380480 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 3442380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7971080832).

3442380480 is an abundant number, since it is smaller than the sum of its proper divisors (12499781184).

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

3442380480 is a wasteful number, since it uses less digits than its factorization.

3442380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3442380480 is about 58671.8031084779. The cubic root of 3442380480 is about 1509.9165896940.

The spelling of 3442380480 in words is "three billion, four hundred forty-two million, three hundred eighty thousand, four hundred eighty".