3474936000 has 504 divisors, whose sum is σ = 13283708256. Its totient is φ = 866918400.

The previous prime is 3474935977. The next prime is 3474936013. The reversal of 3474936000 is 6394743.

3474936000 is a `hidden beast` number, since 3 + 4 + 7 + 49 + 3 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20807917 + ... + 20808083.

It is an arithmetic number, because the mean of its divisors is an integer number (26356564).

Almost surely, 2^3474936000 is an apocalyptic number.

3474936000 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 3474936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6641854128).

3474936000 is an abundant number, since it is smaller than the sum of its proper divisors (9808772256).

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

3474936000 is a wasteful number, since it uses less digits than its factorization.

3474936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3474936000 is about 58948.5877693436. The cubic root of 3474936000 is about 1514.6615588804.

The spelling of 3474936000 in words is "three billion, four hundred seventy-four million, nine hundred thirty-six thousand".