3027974400 has 756 divisors, whose sum is σ = 12466233360. Its totient is φ = 721612800.

The previous prime is 3027974399. The next prime is 3027974423. The reversal of 3027974400 is 44797203.

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 83 ways as a sum of consecutive naturals, for example, 51321571 + ... + 51321629.

Almost surely, 2^3027974400 is an apocalyptic number.

3027974400 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 3027974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233116680).

3027974400 is an abundant number, since it is smaller than the sum of its proper divisors (9438258960).

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

3027974400 is an equidigital number, since it uses as much as digits as its factorization.

3027974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3027974400 is about 55027.0333563422. The cubic root of 3027974400 is about 1446.7186042736.

The spelling of 3027974400 in words is "three billion, twenty-seven million, nine hundred seventy-four thousand, four hundred".