3153485520 has 400 divisors, whose sum is σ = 11513169360. Its totient is φ = 798916608.

The previous prime is 3153485501. The next prime is 3153485557. The reversal of 3153485520 is 255843513.

3153485520 is a `hidden beast` number, since 3 + 1 + 53 + 4 + 85 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 75898944 + 3077586576 = 8712^2 + 55476^2 .

It is a super-3 number, since 3×3153485520³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18228154 + ... + 18228326.

Almost surely, 2^3153485520 is an apocalyptic number.

3153485520 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 3153485520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5756584680).

3153485520 is an abundant number, since it is smaller than the sum of its proper divisors (8359683840).

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

3153485520 is a wasteful number, since it uses less digits than its factorization.

3153485520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 3153485520 is about 56155.9036967619. The cubic root of 3153485520 is about 1466.4376883122.

The spelling of 3153485520 in words is "three billion, one hundred fifty-three million, four hundred eighty-five thousand, five hundred twenty".