3484576980 has 144 divisors (see below), whose sum is σ = 10727458560. Its totient is φ = 915473664.

The previous prime is 3484576913. The next prime is 3484577011. The reversal of 3484576980 is 896754843.

3484576980 is a `hidden beast` number, since 3 + 484 + 5 + 76 + 98 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4602762 + ... + 4603518.

It is an arithmetic number, because the mean of its divisors is an integer number (74496240).

Almost surely, 2^3484576980 is an apocalyptic number.

3484576980 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 3484576980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5363729280).

3484576980 is an abundant number, since it is smaller than the sum of its proper divisors (7242881580).

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

3484576980 is a wasteful number, since it uses less digits than its factorization.

3484576980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3484576980 is about 59030.3056065272. The cubic root of 3484576980 is about 1516.0610415106.

The spelling of 3484576980 in words is "three billion, four hundred eighty-four million, five hundred seventy-six thousand, nine hundred eighty".