3480147792 has 360 divisors, whose sum is σ = 11731749120. Its totient is φ = 958003200.

The previous prime is 3480147743. The next prime is 3480147817. The reversal of 3480147792 is 2977410843.

3480147792 is a `hidden beast` number, since 3 + 480 + 14 + 77 + 92 = 666.

It is a super-2 number, since 2×3480147792² = 24222857308324950528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9182259 + ... + 9182637.

It is an arithmetic number, because the mean of its divisors is an integer number (32588192).

Almost surely, 2^3480147792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3480147792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5865874560).

3480147792 is an abundant number, since it is smaller than the sum of its proper divisors (8251601328).

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

3480147792 is a wasteful number, since it uses less digits than its factorization.

3480147792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3480147792 is about 58992.7774562276. Note that the first 3 decimals coincide. The cubic root of 3480147792 is about 1515.4184224786.

The spelling of 3480147792 in words is "three billion, four hundred eighty million, one hundred forty-seven thousand, seven hundred ninety-two".