38298355200000 has 1872 divisors, whose sum is σ = 163973325035520. Its totient is φ = 8748933120000.

The previous prime is 38298355199977. The next prime is 38298355200037. The reversal of 38298355200000 is 255389283.

38298355200000 is a `hidden beast` number, since 3 + 8 + 2 + 98 + 3 + 552 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×38298355200000² (a number of 28 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21772799121 + ... + 21772800879.

It is an arithmetic number, because the mean of its divisors is an integer number (87592588160).

Almost surely, 2^{38298355200000} is an apocalyptic number.

38298355200000 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 38298355200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81986662517760).

38298355200000 is an abundant number, since it is smaller than the sum of its proper divisors (125674969835520).

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

38298355200000 is an frugal number, since it uses more digits than its factorization.

38298355200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 38298355200000 in words is "thirty-eight trillion, two hundred ninety-eight billion, three hundred fifty-five million, two hundred thousand".