3798194400 has 1728 divisors, whose sum is σ = 19654742016. Its totient is φ = 663552000.

The previous prime is 3798194399. The next prime is 3798194419. The reversal of 3798194400 is 44918973.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 122522385 + ... + 122522415.

It is an arithmetic number, because the mean of its divisors is an integer number (11374272).

Almost surely, 2^3798194400 is an apocalyptic number.

3798194400 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 3798194400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9827371008).

3798194400 is an abundant number, since it is smaller than the sum of its proper divisors (15856547616).

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

3798194400 is a wasteful number, since it uses less digits than its factorization.

3798194400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3798194400 is about 61629.4929396632. The cubic root of 3798194400 is about 1560.2435517176.

The spelling of 3798194400 in words is "three billion, seven hundred ninety-eight million, one hundred ninety-four thousand, four hundred".