3048585840400 has 135 divisors (see below), whose sum is σ = 7440886481301. Its totient is φ = 1200311925120.

The previous prime is 3048585840389. The next prime is 3048585840407. The reversal of 3048585840400 is 40485858403.

The square root of 3048585840400 is 1746020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1097490902544 + 1951094937856 = 1047612^2 + 1396816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3048585840407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2339666149 + ... + 2339667451.

Almost surely, 2^{3048585840400} is an apocalyptic number.

3048585840400 is the 1746020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3048585840400

3048585840400 is an abundant number, since it is smaller than the sum of its proper divisors (4392300640901).

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

3048585840400 is an frugal number, since it uses more digits than its factorization.

3048585840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 49.

Multiplying 3048585840400 by its sum of digits (49), we get a square (149380706179600 = 12222140²).

The spelling of 3048585840400 in words is "three trillion, forty-eight billion, five hundred eighty-five million, eight hundred forty thousand, four hundred".