3483151488 has 192 divisors, whose sum is σ = 10980473400. Its totient is φ = 1054900224.

The previous prime is 3483151439. The next prime is 3483151493. The reversal of 3483151488 is 8841513843.

It can be written as a sum of positive squares in 4 ways, for example, as 3465912384 + 17239104 = 58872^2 + 4152^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3483151488² = 24264688576713228288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564870 + ... + 571002.

Almost surely, 2^3483151488 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 3483151488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490236700).

3483151488 is an abundant number, since it is smaller than the sum of its proper divisors (7497321912).

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

3483151488 is a wasteful number, since it uses less digits than its factorization.

3483151488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6199 (or 6184 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 3483151488 is about 59018.2301327310. The cubic root of 3483151488 is about 1515.8542801483.

The spelling of 3483151488 in words is "three billion, four hundred eighty-three million, one hundred fifty-one thousand, four hundred eighty-eight".