3474576000 has 640 divisors, whose sum is σ = 14786703360. Its totient is φ = 792115200.

The previous prime is 3474575989. The next prime is 3474576023. The reversal of 3474576000 is 6754743.

3474576000 is a `hidden beast` number, since 3 + 4 + 7 + 45 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 9071809 + ... + 9072191.

It is an arithmetic number, because the mean of its divisors is an integer number (23104224).

Almost surely, 2^3474576000 is an apocalyptic number.

3474576000 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 3474576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7393351680).

3474576000 is an abundant number, since it is smaller than the sum of its proper divisors (11312127360).

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

3474576000 is an equidigital number, since it uses as much as digits as its factorization.

3474576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 3474576000 is about 58945.5341819887. The cubic root of 3474576000 is about 1514.6092512511.

The spelling of 3474576000 in words is "three billion, four hundred seventy-four million, five hundred seventy-six thousand".