3456149504 has 96 divisors (see below), whose sum is σ = 7459157160. Its totient is φ = 1594884096.

The previous prime is 3456149503. The next prime is 3456149509. The reversal of 3456149504 is 4059416543.

It can be written as a sum of positive squares in 4 ways, for example, as 2825135104 + 631014400 = 53152^2 + 25120^2 .

It is not an unprimeable number, because it can be changed into a prime (3456149503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1844312 + ... + 1846184.

Almost surely, 2^3456149504 is an apocalyptic number.

3456149504 is a gapful number since it is divisible by the number (34) 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 3456149504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729578580).

3456149504 is an abundant number, since it is smaller than the sum of its proper divisors (4003007656).

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

3456149504 is a wasteful number, since it uses less digits than its factorization.

3456149504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The square root of 3456149504 is about 58789.0253703869. The cubic root of 3456149504 is about 1511.9270608600.

The spelling of 3456149504 in words is "three billion, four hundred fifty-six million, one hundred forty-nine thousand, five hundred four".