3155305440 has 192 divisors, whose sum is σ = 11404592640. Its totient is φ = 718325760.

The previous prime is 3155305411. The next prime is 3155305477. The reversal of 3155305440 is 445035513.

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 = 3155305398 and 3155305407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 902095 + ... + 905585.

It is an arithmetic number, because the mean of its divisors is an integer number (59398920).

Almost surely, 2^3155305440 is an apocalyptic number.

3155305440 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 3155305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702296320).

3155305440 is an abundant number, since it is smaller than the sum of its proper divisors (8249287200).

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

3155305440 is a wasteful number, since it uses less digits than its factorization.

3155305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3777 counting only the distinct ones).

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

The square root of 3155305440 is about 56172.1055329066. The cubic root of 3155305440 is about 1466.7197345353.

The spelling of 3155305440 in words is "three billion, one hundred fifty-five million, three hundred five thousand, four hundred forty".