3405269504 has 240 divisors, whose sum is σ = 8728456968. Its totient is φ = 1315012608.

The previous prime is 3405269503. The next prime is 3405269519. The reversal of 3405269504 is 4059625043.

It can be written as a sum of positive squares in 4 ways, for example, as 3326982400 + 78287104 = 57680^2 + 8848^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3405269503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17285534 + ... + 17285730.

Almost surely, 2^3405269504 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 3405269504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364228484).

3405269504 is an abundant number, since it is smaller than the sum of its proper divisors (5323187464).

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

3405269504 is a wasteful number, since it uses less digits than its factorization.

3405269504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The square root of 3405269504 is about 58354.6870782459. The cubic root of 3405269504 is about 1504.4710309767.

The spelling of 3405269504 in words is "three billion, four hundred five million, two hundred sixty-nine thousand, five hundred four".