3461474304 has 192 divisors, whose sum is σ = 10437336000. Its totient is φ = 1133199360.

The previous prime is 3461474267. The next prime is 3461474339. The reversal of 3461474304 is 4034741643.

3461474304 is a `hidden beast` number, since 3 + 4 + 614 + 7 + 4 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 15 ways as a sum of consecutive naturals, for example, 3261934 + ... + 3262994.

It is an arithmetic number, because the mean of its divisors is an integer number (54361125).

Almost surely, 2^3461474304 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 3461474304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5218668000).

3461474304 is an abundant number, since it is smaller than the sum of its proper divisors (6975861696).

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

3461474304 is a wasteful number, since it uses less digits than its factorization.

3461474304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3461474304 is about 58834.2953046945. The cubic root of 3461474304 is about 1512.7031247266.

The spelling of 3461474304 in words is "three billion, four hundred sixty-one million, four hundred seventy-four thousand, three hundred four".