3153505440 has 192 divisors, whose sum is σ = 10571129856. Its totient is φ = 787464192.

The previous prime is 3153505427. The next prime is 3153505441. The reversal of 3153505440 is 445053513.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3153505398 and 3153505407.

It is not an unprimeable number, because it can be changed into a prime (3153505441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1818814 + ... + 1820546.

It is an arithmetic number, because the mean of its divisors is an integer number (55057968).

Almost surely, 2^3153505440 is an apocalyptic number.

3153505440 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 3153505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285564928).

3153505440 is an abundant number, since it is smaller than the sum of its proper divisors (7417624416).

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

3153505440 is a wasteful number, since it uses less digits than its factorization.

3153505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 3153505440 is about 56156.0810598460. The cubic root of 3153505440 is about 1466.4407760466.

Adding to 3153505440 its reverse (445053513), we get a palindrome (3598558953).

The spelling of 3153505440 in words is "three billion, one hundred fifty-three million, five hundred five thousand, four hundred forty".