3798243302400 has 396 divisors, whose sum is σ = 13634789836200. Its totient is φ = 1010237276160.

The previous prime is 3798243302341. The next prime is 3798243302429. The reversal of 3798243302400 is 42033428973.

3798243302400 is a `hidden beast` number, since 3 + 79 + 8 + 2 + 4 + 330 + 240 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 89604411 + ... + 89646789.

Almost surely, 2^{3798243302400} is an apocalyptic number.

3798243302400 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 3798243302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6817394918100).

3798243302400 is an abundant number, since it is smaller than the sum of its proper divisors (9836546533800).

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

3798243302400 is a wasteful number, since it uses less digits than its factorization.

3798243302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42804 (or 42778 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3798243302400 in words is "three trillion, seven hundred ninety-eight billion, two hundred forty-three million, three hundred two thousand, four hundred".