3476304000 has 512 divisors, whose sum is σ = 13811616000. Its totient is φ = 854323200.

The previous prime is 3476303993. The next prime is 3476304001. The reversal of 3476304000 is 4036743.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3476304001) 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, 5615691 + ... + 5616309.

Almost surely, 2^3476304000 is an apocalyptic number.

3476304000 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 3476304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905808000).

3476304000 is an abundant number, since it is smaller than the sum of its proper divisors (10335312000).

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

3476304000 is a wasteful number, since it uses less digits than its factorization.

3476304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3476304000 is about 58960.1899589884. The cubic root of 3476304000 is about 1514.8602949305.

The spelling of 3476304000 in words is "three billion, four hundred seventy-six million, three hundred four thousand".