3023948400 has 240 divisors, whose sum is σ = 10671067008. Its totient is φ = 725888000.

The previous prime is 3023948377. The next prime is 3023948419. The reversal of 3023948400 is 48493203.

3023948400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 1411330 + ... + 1413470.

Almost surely, 2^3023948400 is an apocalyptic number.

3023948400 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 3023948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5335533504).

3023948400 is an abundant number, since it is smaller than the sum of its proper divisors (7647118608).

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

3023948400 is a wasteful number, since it uses less digits than its factorization.

3023948400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3023948400 is about 54990.4391690046. The cubic root of 3023948400 is about 1446.0771333697.

The spelling of 3023948400 in words is "three billion, twenty-three million, nine hundred forty-eight thousand, four hundred".