3472084980 has 192 divisors, whose sum is σ = 13295009280. Its totient is φ = 732561408.

The previous prime is 3472084919. The next prime is 3472085021. The reversal of 3472084980 is 894802743.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 13812 + ... + 84468.

It is an arithmetic number, because the mean of its divisors is an integer number (69244840).

Almost surely, 2^3472084980 is an apocalyptic number.

3472084980 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 3472084980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6647504640).

3472084980 is an abundant number, since it is smaller than the sum of its proper divisors (9822924300).

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

3472084980 is a wasteful number, since it uses less digits than its factorization.

3472084980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70695 (or 70687 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3472084980 is about 58924.4005484994. The cubic root of 3472084980 is about 1514.2472095771.

The spelling of 3472084980 in words is "three billion, four hundred seventy-two million, eighty-four thousand, nine hundred eighty".