2938028400 has 360 divisors, whose sum is σ = 10986444144. Its totient is φ = 724377600.

The previous prime is 2938028371. The next prime is 2938028411. The reversal of 2938028400 is 48208392.

2938028400 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 (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3732807 + ... + 3733593.

Almost surely, 2^2938028400 is an apocalyptic number.

2938028400 is a gapful number since it is divisible by the number (20) 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 2938028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493222072).

2938028400 is an abundant number, since it is smaller than the sum of its proper divisors (8048415744).

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

2938028400 is a wasteful number, since it uses less digits than its factorization.

2938028400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2938028400 is about 54203.5829074057. The cubic root of 2938028400 is about 1432.2494467816.

The spelling of 2938028400 in words is "two billion, nine hundred thirty-eight million, twenty-eight thousand, four hundred".