3066974400 has 336 divisors, whose sum is σ = 11815283456. Its totient is φ = 681799680.

The previous prime is 3066974381. The next prime is 3066974423. The reversal of 3066974400 is 44796603.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1241967 + ... + 1244433.

Almost surely, 2^3066974400 is an apocalyptic number.

3066974400 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 3066974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5907641728).

3066974400 is an abundant number, since it is smaller than the sum of its proper divisors (8748309056).

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

3066974400 is a wasteful number, since it uses less digits than its factorization.

3066974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 3066974400 is about 55380.2708552423. The cubic root of 3066974400 is about 1452.9033227343.

The spelling of 3066974400 in words is "three billion, sixty-six million, nine hundred seventy-four thousand, four hundred".