3073464000 has 784 divisors, whose sum is σ = 12473001216. Its totient is φ = 746496000.

The previous prime is 3073463977. The next prime is 3073464059. The reversal of 3073464000 is 4643703.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 99143985 + ... + 99144015.

Almost surely, 2^3073464000 is an apocalyptic number.

3073464000 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 3073464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236500608).

3073464000 is an abundant number, since it is smaller than the sum of its proper divisors (9399537216).

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

3073464000 is an equidigital number, since it uses as much as digits as its factorization.

3073464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

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

The square root of 3073464000 is about 55438.8311565098. The cubic root of 3073464000 is about 1453.9273633339.

The spelling of 3073464000 in words is "three billion, seventy-three million, four hundred sixty-four thousand".