3405192480 has 384 divisors, whose sum is σ = 12737088000. Its totient is φ = 846692352.

The previous prime is 3405192451. The next prime is 3405192487. The reversal of 3405192480 is 842915043.

3405192480 is a `hidden beast` number, since 3 + 40 + 51 + 92 + 480 = 666.

3405192480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3405192487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14614444 + ... + 14614676.

It is an arithmetic number, because the mean of its divisors is an integer number (33169500).

Almost surely, 2^3405192480 is an apocalyptic number.

3405192480 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 3405192480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368544000).

3405192480 is an abundant number, since it is smaller than the sum of its proper divisors (9331895520).

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

3405192480 is a wasteful number, since it uses less digits than its factorization.

3405192480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3405192480 is about 58354.0271103889. The cubic root of 3405192480 is about 1504.4596876503.

The spelling of 3405192480 in words is "three billion, four hundred five million, one hundred ninety-two thousand, four hundred eighty".