1038722400 has 288 divisors, whose sum is σ = 3955996800. Its totient is φ = 262310400.

The previous prime is 1038722383. The next prime is 1038722417. The reversal of 1038722400 is 42278301.

It is an interprime number because it is at equal distance from previous prime (1038722383) and next prime (1038722417).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 409135 + ... + 411665.

It is an arithmetic number, because the mean of its divisors is an integer number (13736100).

Almost surely, 2^1038722400 is an apocalyptic number.

1038722400 is a gapful number since it is divisible by the number (10) 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 1038722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977998400).

1038722400 is an abundant number, since it is smaller than the sum of its proper divisors (2917274400).

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

1038722400 is a wasteful number, since it uses less digits than its factorization.

1038722400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1038722400 is about 32229.2165588926. The cubic root of 1038722400 is about 1012.7443580312.

The spelling of 1038722400 in words is "one billion, thirty-eight million, seven hundred twenty-two thousand, four hundred".